-5(1+p)-6(p-2)=-4p-6+3-6p

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Solution for -5(1+p)-6(p-2)=-4p-6+3-6p equation:


Simplifying
-5(1 + p) + -6(p + -2) = -4p + -6 + 3 + -6p
(1 * -5 + p * -5) + -6(p + -2) = -4p + -6 + 3 + -6p
(-5 + -5p) + -6(p + -2) = -4p + -6 + 3 + -6p

Reorder the terms:
-5 + -5p + -6(-2 + p) = -4p + -6 + 3 + -6p
-5 + -5p + (-2 * -6 + p * -6) = -4p + -6 + 3 + -6p
-5 + -5p + (12 + -6p) = -4p + -6 + 3 + -6p

Reorder the terms:
-5 + 12 + -5p + -6p = -4p + -6 + 3 + -6p

Combine like terms: -5 + 12 = 7
7 + -5p + -6p = -4p + -6 + 3 + -6p

Combine like terms: -5p + -6p = -11p
7 + -11p = -4p + -6 + 3 + -6p

Reorder the terms:
7 + -11p = -6 + 3 + -4p + -6p

Combine like terms: -6 + 3 = -3
7 + -11p = -3 + -4p + -6p

Combine like terms: -4p + -6p = -10p
7 + -11p = -3 + -10p

Solving
7 + -11p = -3 + -10p

Solving for variable 'p'.

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

Add '10p' to each side of the equation.
7 + -11p + 10p = -3 + -10p + 10p

Combine like terms: -11p + 10p = -1p
7 + -1p = -3 + -10p + 10p

Combine like terms: -10p + 10p = 0
7 + -1p = -3 + 0
7 + -1p = -3

Add '-7' to each side of the equation.
7 + -7 + -1p = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -1p = -3 + -7
-1p = -3 + -7

Combine like terms: -3 + -7 = -10
-1p = -10

Divide each side by '-1'.
p = 10

Simplifying
p = 10

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