-10(p+3)+2(5p+7)=p-(4p+4)

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Solution for -10(p+3)+2(5p+7)=p-(4p+4) equation:


Simplifying
-10(p + 3) + 2(5p + 7) = p + -1(4p + 4)

Reorder the terms:
-10(3 + p) + 2(5p + 7) = p + -1(4p + 4)
(3 * -10 + p * -10) + 2(5p + 7) = p + -1(4p + 4)
(-30 + -10p) + 2(5p + 7) = p + -1(4p + 4)

Reorder the terms:
-30 + -10p + 2(7 + 5p) = p + -1(4p + 4)
-30 + -10p + (7 * 2 + 5p * 2) = p + -1(4p + 4)
-30 + -10p + (14 + 10p) = p + -1(4p + 4)

Reorder the terms:
-30 + 14 + -10p + 10p = p + -1(4p + 4)

Combine like terms: -30 + 14 = -16
-16 + -10p + 10p = p + -1(4p + 4)

Combine like terms: -10p + 10p = 0
-16 + 0 = p + -1(4p + 4)
-16 = p + -1(4p + 4)

Reorder the terms:
-16 = p + -1(4 + 4p)
-16 = p + (4 * -1 + 4p * -1)
-16 = p + (-4 + -4p)

Reorder the terms:
-16 = -4 + p + -4p

Combine like terms: p + -4p = -3p
-16 = -4 + -3p

Solving
-16 = -4 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
-16 + 3p = -4 + -3p + 3p

Combine like terms: -3p + 3p = 0
-16 + 3p = -4 + 0
-16 + 3p = -4

Add '16' to each side of the equation.
-16 + 16 + 3p = -4 + 16

Combine like terms: -16 + 16 = 0
0 + 3p = -4 + 16
3p = -4 + 16

Combine like terms: -4 + 16 = 12
3p = 12

Divide each side by '3'.
p = 4

Simplifying
p = 4

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