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

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


Simplifying
-13p + -4(5 + -5p) = 2(p + -5) + -5
-13p + (5 * -4 + -5p * -4) = 2(p + -5) + -5
-13p + (-20 + 20p) = 2(p + -5) + -5

Reorder the terms:
-20 + -13p + 20p = 2(p + -5) + -5

Combine like terms: -13p + 20p = 7p
-20 + 7p = 2(p + -5) + -5

Reorder the terms:
-20 + 7p = 2(-5 + p) + -5
-20 + 7p = (-5 * 2 + p * 2) + -5
-20 + 7p = (-10 + 2p) + -5

Reorder the terms:
-20 + 7p = -10 + -5 + 2p

Combine like terms: -10 + -5 = -15
-20 + 7p = -15 + 2p

Solving
-20 + 7p = -15 + 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.
-20 + 7p + -2p = -15 + 2p + -2p

Combine like terms: 7p + -2p = 5p
-20 + 5p = -15 + 2p + -2p

Combine like terms: 2p + -2p = 0
-20 + 5p = -15 + 0
-20 + 5p = -15

Add '20' to each side of the equation.
-20 + 20 + 5p = -15 + 20

Combine like terms: -20 + 20 = 0
0 + 5p = -15 + 20
5p = -15 + 20

Combine like terms: -15 + 20 = 5
5p = 5

Divide each side by '5'.
p = 1

Simplifying
p = 1

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