-29=9-6k-2k - 1please do the work, i’ll mark as brainliest

k = 37/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

-29 = 9 - 6k - 2k - 1

Step 2: Solve for k

Combine like terms:                                                                                       -29 = 8 - 8k[Subtraction Property of Equality] Subtract 8 on both sides:                      -37 = -8k[Division Property of Equality] Divide -8 on both sides:                              37/8 = kRewrite/Rearrange:                                                                                        k = 37/8

Step 3: Check

Plug in k into the original equation to verify it's a solution.

Substitute in k:                                                                                                -29 = 9 - 6(37/8) - 2(37/8) - 1Multiply:                                                                                                           -29 = 9 - 111/4 - 37/4 - 1Subtract:                                                                                                          -29 = -75/4 - 37/4 - 1Subtract:                                                                                                          -29 = -28 - 1Subtract:                                                                                                          -29 = -29

Here we see that -29 does indeed equal -29.

∴ k = 37/8 is the solution to the equation.