4(p+2)-13=2(p-1)-7p+15

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Solution for 4(p+2)-13=2(p-1)-7p+15 equation:


Simplifying
4(p + 2) + -13 = 2(p + -1) + -7p + 15

Reorder the terms:
4(2 + p) + -13 = 2(p + -1) + -7p + 15
(2 * 4 + p * 4) + -13 = 2(p + -1) + -7p + 15
(8 + 4p) + -13 = 2(p + -1) + -7p + 15

Reorder the terms:
8 + -13 + 4p = 2(p + -1) + -7p + 15

Combine like terms: 8 + -13 = -5
-5 + 4p = 2(p + -1) + -7p + 15

Reorder the terms:
-5 + 4p = 2(-1 + p) + -7p + 15
-5 + 4p = (-1 * 2 + p * 2) + -7p + 15
-5 + 4p = (-2 + 2p) + -7p + 15

Reorder the terms:
-5 + 4p = -2 + 15 + 2p + -7p

Combine like terms: -2 + 15 = 13
-5 + 4p = 13 + 2p + -7p

Combine like terms: 2p + -7p = -5p
-5 + 4p = 13 + -5p

Solving
-5 + 4p = 13 + -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.
-5 + 4p + 5p = 13 + -5p + 5p

Combine like terms: 4p + 5p = 9p
-5 + 9p = 13 + -5p + 5p

Combine like terms: -5p + 5p = 0
-5 + 9p = 13 + 0
-5 + 9p = 13

Add '5' to each side of the equation.
-5 + 5 + 9p = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 9p = 13 + 5
9p = 13 + 5

Combine like terms: 13 + 5 = 18
9p = 18

Divide each side by '9'.
p = 2

Simplifying
p = 2

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