-7(p+7)+3(p-4)=-17

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Solution for -7(p+7)+3(p-4)=-17 equation: 


Simplifying
-7(p + 7) + 3(p + -4) = -17

Reorder the terms:
-7(7 + p) + 3(p + -4) = -17
(7 * -7 + p * -7) + 3(p + -4) = -17
(-49 + -7p) + 3(p + -4) = -17

Reorder the terms:
-49 + -7p + 3(-4 + p) = -17
-49 + -7p + (-4 * 3 + p * 3) = -17
-49 + -7p + (-12 + 3p) = -17

Reorder the terms:
-49 + -12 + -7p + 3p = -17

Combine like terms: -49 + -12 = -61
-61 + -7p + 3p = -17

Combine like terms: -7p + 3p = -4p
-61 + -4p = -17

Solving
-61 + -4p = -17

Solving for variable 'p'.

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

Add '61' to each side of the equation.
-61 + 61 + -4p = -17 + 61

Combine like terms: -61 + 61 = 0
0 + -4p = -17 + 61
-4p = -17 + 61

Combine like terms: -17 + 61 = 44
-4p = 44

Divide each side by '-4'.
p = -11

Simplifying
p = -11

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