-9p-4(2-4p)=3(p-3)-35

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Solution for -9p-4(2-4p)=3(p-3)-35 equation:


Simplifying
-9p + -4(2 + -4p) = 3(p + -3) + -35
-9p + (2 * -4 + -4p * -4) = 3(p + -3) + -35
-9p + (-8 + 16p) = 3(p + -3) + -35

Reorder the terms:
-8 + -9p + 16p = 3(p + -3) + -35

Combine like terms: -9p + 16p = 7p
-8 + 7p = 3(p + -3) + -35

Reorder the terms:
-8 + 7p = 3(-3 + p) + -35
-8 + 7p = (-3 * 3 + p * 3) + -35
-8 + 7p = (-9 + 3p) + -35

Reorder the terms:
-8 + 7p = -9 + -35 + 3p

Combine like terms: -9 + -35 = -44
-8 + 7p = -44 + 3p

Solving
-8 + 7p = -44 + 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.
-8 + 7p + -3p = -44 + 3p + -3p

Combine like terms: 7p + -3p = 4p
-8 + 4p = -44 + 3p + -3p

Combine like terms: 3p + -3p = 0
-8 + 4p = -44 + 0
-8 + 4p = -44

Add '8' to each side of the equation.
-8 + 8 + 4p = -44 + 8

Combine like terms: -8 + 8 = 0
0 + 4p = -44 + 8
4p = -44 + 8

Combine like terms: -44 + 8 = -36
4p = -36

Divide each side by '4'.
p = -9

Simplifying
p = -9

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