9p-8=9(4p-2)-7(8-4p)

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Solution for 9p-8=9(4p-2)-7(8-4p) equation:


Simplifying
9p + -8 = 9(4p + -2) + -7(8 + -4p)

Reorder the terms:
-8 + 9p = 9(4p + -2) + -7(8 + -4p)

Reorder the terms:
-8 + 9p = 9(-2 + 4p) + -7(8 + -4p)
-8 + 9p = (-2 * 9 + 4p * 9) + -7(8 + -4p)
-8 + 9p = (-18 + 36p) + -7(8 + -4p)
-8 + 9p = -18 + 36p + (8 * -7 + -4p * -7)
-8 + 9p = -18 + 36p + (-56 + 28p)

Reorder the terms:
-8 + 9p = -18 + -56 + 36p + 28p

Combine like terms: -18 + -56 = -74
-8 + 9p = -74 + 36p + 28p

Combine like terms: 36p + 28p = 64p
-8 + 9p = -74 + 64p

Solving
-8 + 9p = -74 + 64p

Solving for variable 'p'.

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

Add '-64p' to each side of the equation.
-8 + 9p + -64p = -74 + 64p + -64p

Combine like terms: 9p + -64p = -55p
-8 + -55p = -74 + 64p + -64p

Combine like terms: 64p + -64p = 0
-8 + -55p = -74 + 0
-8 + -55p = -74

Add '8' to each side of the equation.
-8 + 8 + -55p = -74 + 8

Combine like terms: -8 + 8 = 0
0 + -55p = -74 + 8
-55p = -74 + 8

Combine like terms: -74 + 8 = -66
-55p = -66

Divide each side by '-55'.
p = 1.2

Simplifying
p = 1.2

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