7(4p-9)-11=-5(12-7p)

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Solution for 7(4p-9)-11=-5(12-7p) equation:


Simplifying
7(4p + -9) + -11 = -5(12 + -7p)

Reorder the terms:
7(-9 + 4p) + -11 = -5(12 + -7p)
(-9 * 7 + 4p * 7) + -11 = -5(12 + -7p)
(-63 + 28p) + -11 = -5(12 + -7p)

Reorder the terms:
-63 + -11 + 28p = -5(12 + -7p)

Combine like terms: -63 + -11 = -74
-74 + 28p = -5(12 + -7p)
-74 + 28p = (12 * -5 + -7p * -5)
-74 + 28p = (-60 + 35p)

Solving
-74 + 28p = -60 + 35p

Solving for variable 'p'.

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

Add '-35p' to each side of the equation.
-74 + 28p + -35p = -60 + 35p + -35p

Combine like terms: 28p + -35p = -7p
-74 + -7p = -60 + 35p + -35p

Combine like terms: 35p + -35p = 0
-74 + -7p = -60 + 0
-74 + -7p = -60

Add '74' to each side of the equation.
-74 + 74 + -7p = -60 + 74

Combine like terms: -74 + 74 = 0
0 + -7p = -60 + 74
-7p = -60 + 74

Combine like terms: -60 + 74 = 14
-7p = 14

Divide each side by '-7'.
p = -2

Simplifying
p = -2

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