-4p-5(3-2p)=4(p-4)-13

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Solution for -4p-5(3-2p)=4(p-4)-13 equation:


Simplifying
-4p + -5(3 + -2p) = 4(p + -4) + -13
-4p + (3 * -5 + -2p * -5) = 4(p + -4) + -13
-4p + (-15 + 10p) = 4(p + -4) + -13

Reorder the terms:
-15 + -4p + 10p = 4(p + -4) + -13

Combine like terms: -4p + 10p = 6p
-15 + 6p = 4(p + -4) + -13

Reorder the terms:
-15 + 6p = 4(-4 + p) + -13
-15 + 6p = (-4 * 4 + p * 4) + -13
-15 + 6p = (-16 + 4p) + -13

Reorder the terms:
-15 + 6p = -16 + -13 + 4p

Combine like terms: -16 + -13 = -29
-15 + 6p = -29 + 4p

Solving
-15 + 6p = -29 + 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 = -29 + 4p + -4p

Combine like terms: 6p + -4p = 2p
-15 + 2p = -29 + 4p + -4p

Combine like terms: 4p + -4p = 0
-15 + 2p = -29 + 0
-15 + 2p = -29

Add '15' to each side of the equation.
-15 + 15 + 2p = -29 + 15

Combine like terms: -15 + 15 = 0
0 + 2p = -29 + 15
2p = -29 + 15

Combine like terms: -29 + 15 = -14
2p = -14

Divide each side by '2'.
p = -7

Simplifying
p = -7

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