-2p+3=8(4p+3)-9(-4-3p)

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Solution for -2p+3=8(4p+3)-9(-4-3p) equation:


Simplifying
-2p + 3 = 8(4p + 3) + -9(-4 + -3p)

Reorder the terms:
3 + -2p = 8(4p + 3) + -9(-4 + -3p)

Reorder the terms:
3 + -2p = 8(3 + 4p) + -9(-4 + -3p)
3 + -2p = (3 * 8 + 4p * 8) + -9(-4 + -3p)
3 + -2p = (24 + 32p) + -9(-4 + -3p)
3 + -2p = 24 + 32p + (-4 * -9 + -3p * -9)
3 + -2p = 24 + 32p + (36 + 27p)

Reorder the terms:
3 + -2p = 24 + 36 + 32p + 27p

Combine like terms: 24 + 36 = 60
3 + -2p = 60 + 32p + 27p

Combine like terms: 32p + 27p = 59p
3 + -2p = 60 + 59p

Solving
3 + -2p = 60 + 59p

Solving for variable 'p'.

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

Add '-59p' to each side of the equation.
3 + -2p + -59p = 60 + 59p + -59p

Combine like terms: -2p + -59p = -61p
3 + -61p = 60 + 59p + -59p

Combine like terms: 59p + -59p = 0
3 + -61p = 60 + 0
3 + -61p = 60

Add '-3' to each side of the equation.
3 + -3 + -61p = 60 + -3

Combine like terms: 3 + -3 = 0
0 + -61p = 60 + -3
-61p = 60 + -3

Combine like terms: 60 + -3 = 57
-61p = 57

Divide each side by '-61'.
p = -0.9344262295

Simplifying
p = -0.9344262295

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