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

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


Simplifying
-11p + -3(5 + -6p) = 5(p + -6) + -3
-11p + (5 * -3 + -6p * -3) = 5(p + -6) + -3
-11p + (-15 + 18p) = 5(p + -6) + -3

Reorder the terms:
-15 + -11p + 18p = 5(p + -6) + -3

Combine like terms: -11p + 18p = 7p
-15 + 7p = 5(p + -6) + -3

Reorder the terms:
-15 + 7p = 5(-6 + p) + -3
-15 + 7p = (-6 * 5 + p * 5) + -3
-15 + 7p = (-30 + 5p) + -3

Reorder the terms:
-15 + 7p = -30 + -3 + 5p

Combine like terms: -30 + -3 = -33
-15 + 7p = -33 + 5p

Solving
-15 + 7p = -33 + 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.
-15 + 7p + -5p = -33 + 5p + -5p

Combine like terms: 7p + -5p = 2p
-15 + 2p = -33 + 5p + -5p

Combine like terms: 5p + -5p = 0
-15 + 2p = -33 + 0
-15 + 2p = -33

Add '15' to each side of the equation.
-15 + 15 + 2p = -33 + 15

Combine like terms: -15 + 15 = 0
0 + 2p = -33 + 15
2p = -33 + 15

Combine like terms: -33 + 15 = -18
2p = -18

Divide each side by '2'.
p = -9

Simplifying
p = -9

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