-3p-3(5-3p)=2(p-6)-11

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Solution for -3p-3(5-3p)=2(p-6)-11 equation:


Simplifying
-3p + -3(5 + -3p) = 2(p + -6) + -11
-3p + (5 * -3 + -3p * -3) = 2(p + -6) + -11
-3p + (-15 + 9p) = 2(p + -6) + -11

Reorder the terms:
-15 + -3p + 9p = 2(p + -6) + -11

Combine like terms: -3p + 9p = 6p
-15 + 6p = 2(p + -6) + -11

Reorder the terms:
-15 + 6p = 2(-6 + p) + -11
-15 + 6p = (-6 * 2 + p * 2) + -11
-15 + 6p = (-12 + 2p) + -11

Reorder the terms:
-15 + 6p = -12 + -11 + 2p

Combine like terms: -12 + -11 = -23
-15 + 6p = -23 + 2p

Solving
-15 + 6p = -23 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-15 + 6p + -2p = -23 + 2p + -2p

Combine like terms: 6p + -2p = 4p
-15 + 4p = -23 + 2p + -2p

Combine like terms: 2p + -2p = 0
-15 + 4p = -23 + 0
-15 + 4p = -23

Add '15' to each side of the equation.
-15 + 15 + 4p = -23 + 15

Combine like terms: -15 + 15 = 0
0 + 4p = -23 + 15
4p = -23 + 15

Combine like terms: -23 + 15 = -8
4p = -8

Divide each side by '4'.
p = -2

Simplifying
p = -2

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