-14p-5(3-4p)=4(p-5)-11

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Solution for -14p-5(3-4p)=4(p-5)-11 equation:


Simplifying
-14p + -5(3 + -4p) = 4(p + -5) + -11
-14p + (3 * -5 + -4p * -5) = 4(p + -5) + -11
-14p + (-15 + 20p) = 4(p + -5) + -11

Reorder the terms:
-15 + -14p + 20p = 4(p + -5) + -11

Combine like terms: -14p + 20p = 6p
-15 + 6p = 4(p + -5) + -11

Reorder the terms:
-15 + 6p = 4(-5 + p) + -11
-15 + 6p = (-5 * 4 + p * 4) + -11
-15 + 6p = (-20 + 4p) + -11

Reorder the terms:
-15 + 6p = -20 + -11 + 4p

Combine like terms: -20 + -11 = -31
-15 + 6p = -31 + 4p

Solving
-15 + 6p = -31 + 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.
-15 + 6p + -4p = -31 + 4p + -4p

Combine like terms: 6p + -4p = 2p
-15 + 2p = -31 + 4p + -4p

Combine like terms: 4p + -4p = 0
-15 + 2p = -31 + 0
-15 + 2p = -31

Add '15' to each side of the equation.
-15 + 15 + 2p = -31 + 15

Combine like terms: -15 + 15 = 0
0 + 2p = -31 + 15
2p = -31 + 15

Combine like terms: -31 + 15 = -16
2p = -16

Divide each side by '2'.
p = -8

Simplifying
p = -8

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