Solve the equation 1 = 6 (1 - p)

p = 0.8333333333

Step-by-step explanation:

Simplifying

1 = 6(1 + -1p)

1 = (1 * 6 + -1p * 6)

1 = (6 + -6p)

Solving

1 = 6 + -6p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '6p' to each side of the equation.

1 + 6p = 6 + -6p + 6p

Combine like terms: -6p + 6p = 0

1 + 6p = 6 + 0

1 + 6p = 6

Add '-1' to each side of the equation.

1 + -1 + 6p = 6 + -1

Combine like terms: 1 + -1 = 0

0 + 6p = 6 + -1

6p = 6 + -1

Combine like terms: 6 + -1 = 5

6p = 5

Divide each side by '6'.

p = 0.8333333333

0.833

Step-by-step explanation:

Simplifying

1 = 6(1 + -1p)

1 = (1 * 6 + -1p * 6)

1 = (6 + -6p)

Solving

1 = 6 + -6p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '6p' to each side of the equation.

1 + 6p = 6 + -6p + 6p

Combine like terms: -6p + 6p = 0

1 + 6p = 6 + 0

1 + 6p = 6

Add '-1' to each side of the equation.

1 + -1 + 6p = 6 + -1

Combine like terms: 1 + -1 = 0

0 + 6p = 6 + -1

6p = 6 + -1

Combine like terms: 6 + -1 = 5

6p = 5

Divide each side by '6'.

p = 0.8333333333

Simplifying

p = 0.8333333333

44

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