5p-26=-4(p-8)+5

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Solution for 5p-26=-4(p-8)+5 equation:


Simplifying
5p + -26 = -4(p + -8) + 5

Reorder the terms:
-26 + 5p = -4(p + -8) + 5

Reorder the terms:
-26 + 5p = -4(-8 + p) + 5
-26 + 5p = (-8 * -4 + p * -4) + 5
-26 + 5p = (32 + -4p) + 5

Reorder the terms:
-26 + 5p = 32 + 5 + -4p

Combine like terms: 32 + 5 = 37
-26 + 5p = 37 + -4p

Solving
-26 + 5p = 37 + -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.
-26 + 5p + 4p = 37 + -4p + 4p

Combine like terms: 5p + 4p = 9p
-26 + 9p = 37 + -4p + 4p

Combine like terms: -4p + 4p = 0
-26 + 9p = 37 + 0
-26 + 9p = 37

Add '26' to each side of the equation.
-26 + 26 + 9p = 37 + 26

Combine like terms: -26 + 26 = 0
0 + 9p = 37 + 26
9p = 37 + 26

Combine like terms: 37 + 26 = 63
9p = 63

Divide each side by '9'.
p = 7

Simplifying
p = 7

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