-11p-6(3-3p)=4(p-4)-14

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Solution for -11p-6(3-3p)=4(p-4)-14 equation:


Simplifying
-11p + -6(3 + -3p) = 4(p + -4) + -14
-11p + (3 * -6 + -3p * -6) = 4(p + -4) + -14
-11p + (-18 + 18p) = 4(p + -4) + -14

Reorder the terms:
-18 + -11p + 18p = 4(p + -4) + -14

Combine like terms: -11p + 18p = 7p
-18 + 7p = 4(p + -4) + -14

Reorder the terms:
-18 + 7p = 4(-4 + p) + -14
-18 + 7p = (-4 * 4 + p * 4) + -14
-18 + 7p = (-16 + 4p) + -14

Reorder the terms:
-18 + 7p = -16 + -14 + 4p

Combine like terms: -16 + -14 = -30
-18 + 7p = -30 + 4p

Solving
-18 + 7p = -30 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-18 + 7p + -4p = -30 + 4p + -4p

Combine like terms: 7p + -4p = 3p
-18 + 3p = -30 + 4p + -4p

Combine like terms: 4p + -4p = 0
-18 + 3p = -30 + 0
-18 + 3p = -30

Add '18' to each side of the equation.
-18 + 18 + 3p = -30 + 18

Combine like terms: -18 + 18 = 0
0 + 3p = -30 + 18
3p = -30 + 18

Combine like terms: -30 + 18 = -12
3p = -12

Divide each side by '3'.
p = -4

Simplifying
p = -4

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