-10p-6(2-3p)=5(p-4)-25

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Solution for -10p-6(2-3p)=5(p-4)-25 equation: 


Simplifying
-10p + -6(2 + -3p) = 5(p + -4) + -25
-10p + (2 * -6 + -3p * -6) = 5(p + -4) + -25
-10p + (-12 + 18p) = 5(p + -4) + -25

Reorder the terms:
-12 + -10p + 18p = 5(p + -4) + -25

Combine like terms: -10p + 18p = 8p
-12 + 8p = 5(p + -4) + -25

Reorder the terms:
-12 + 8p = 5(-4 + p) + -25
-12 + 8p = (-4 * 5 + p * 5) + -25
-12 + 8p = (-20 + 5p) + -25

Reorder the terms:
-12 + 8p = -20 + -25 + 5p

Combine like terms: -20 + -25 = -45
-12 + 8p = -45 + 5p

Solving
-12 + 8p = -45 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-12 + 8p + -5p = -45 + 5p + -5p

Combine like terms: 8p + -5p = 3p
-12 + 3p = -45 + 5p + -5p

Combine like terms: 5p + -5p = 0
-12 + 3p = -45 + 0
-12 + 3p = -45

Add '12' to each side of the equation.
-12 + 12 + 3p = -45 + 12

Combine like terms: -12 + 12 = 0
0 + 3p = -45 + 12
3p = -45 + 12

Combine like terms: -45 + 12 = -33
3p = -33

Divide each side by '3'.
p = -11

Simplifying
p = -11

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