p-(p+7)=4(p-4)+5p

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Solution for p-(p+7)=4(p-4)+5p equation:


Simplifying
p + -1(p + 7) = 4(p + -4) + 5p

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

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

Combine like terms: p + -1p = 0
-7 + 0 = 4(p + -4) + 5p
-7 = 4(p + -4) + 5p

Reorder the terms:
-7 = 4(-4 + p) + 5p
-7 = (-4 * 4 + p * 4) + 5p
-7 = (-16 + 4p) + 5p

Combine like terms: 4p + 5p = 9p
-7 = -16 + 9p

Solving
-7 = -16 + 9p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-9p' to each side of the equation.
-7 + -9p = -16 + 9p + -9p

Combine like terms: 9p + -9p = 0
-7 + -9p = -16 + 0
-7 + -9p = -16

Add '7' to each side of the equation.
-7 + 7 + -9p = -16 + 7

Combine like terms: -7 + 7 = 0
0 + -9p = -16 + 7
-9p = -16 + 7

Combine like terms: -16 + 7 = -9
-9p = -9

Divide each side by '-9'.
p = 1

Simplifying
p = 1

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