-40=-4(-8p-2)-2(1-7p)

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Solution for -40=-4(-8p-2)-2(1-7p) equation:


Simplifying
-40 = -4(-8p + -2) + -2(1 + -7p)

Reorder the terms:
-40 = -4(-2 + -8p) + -2(1 + -7p)
-40 = (-2 * -4 + -8p * -4) + -2(1 + -7p)
-40 = (8 + 32p) + -2(1 + -7p)
-40 = 8 + 32p + (1 * -2 + -7p * -2)
-40 = 8 + 32p + (-2 + 14p)

Reorder the terms:
-40 = 8 + -2 + 32p + 14p

Combine like terms: 8 + -2 = 6
-40 = 6 + 32p + 14p

Combine like terms: 32p + 14p = 46p
-40 = 6 + 46p

Solving
-40 = 6 + 46p

Solving for variable 'p'.

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

Add '-46p' to each side of the equation.
-40 + -46p = 6 + 46p + -46p

Combine like terms: 46p + -46p = 0
-40 + -46p = 6 + 0
-40 + -46p = 6

Add '40' to each side of the equation.
-40 + 40 + -46p = 6 + 40

Combine like terms: -40 + 40 = 0
0 + -46p = 6 + 40
-46p = 6 + 40

Combine like terms: 6 + 40 = 46
-46p = 46

Divide each side by '-46'.
p = -1

Simplifying
p = -1

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