10 + 4a = a -23 i need to solve for a please help

a = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

10 + 4a = a - 23

Step 2: Solve for a

Subtract a on both sides:                    10 + 3a = -23Isolate a term:                                      3a = -33Isolate a:                                               a = -11

Step 3: Check

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

Substitute in a:                    10 + 4(-11) = -11 - 23Multiply:                               10 - 44 = -11 - 23Subtract:                               -34 = -34

Here we see that -34 does indeed equal -34.

∴ a = -11 is the solution to the equation.

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