-2(2p-3)+3(3p-8)=p+7(p-3)

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Solution for -2(2p-3)+3(3p-8)=p+7(p-3) equation:


Simplifying
-2(2p + -3) + 3(3p + -8) = p + 7(p + -3)

Reorder the terms:
-2(-3 + 2p) + 3(3p + -8) = p + 7(p + -3)
(-3 * -2 + 2p * -2) + 3(3p + -8) = p + 7(p + -3)
(6 + -4p) + 3(3p + -8) = p + 7(p + -3)

Reorder the terms:
6 + -4p + 3(-8 + 3p) = p + 7(p + -3)
6 + -4p + (-8 * 3 + 3p * 3) = p + 7(p + -3)
6 + -4p + (-24 + 9p) = p + 7(p + -3)

Reorder the terms:
6 + -24 + -4p + 9p = p + 7(p + -3)

Combine like terms: 6 + -24 = -18
-18 + -4p + 9p = p + 7(p + -3)

Combine like terms: -4p + 9p = 5p
-18 + 5p = p + 7(p + -3)

Reorder the terms:
-18 + 5p = p + 7(-3 + p)
-18 + 5p = p + (-3 * 7 + p * 7)
-18 + 5p = p + (-21 + 7p)

Reorder the terms:
-18 + 5p = -21 + p + 7p

Combine like terms: p + 7p = 8p
-18 + 5p = -21 + 8p

Solving
-18 + 5p = -21 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
-18 + 5p + -8p = -21 + 8p + -8p

Combine like terms: 5p + -8p = -3p
-18 + -3p = -21 + 8p + -8p

Combine like terms: 8p + -8p = 0
-18 + -3p = -21 + 0
-18 + -3p = -21

Add '18' to each side of the equation.
-18 + 18 + -3p = -21 + 18

Combine like terms: -18 + 18 = 0
0 + -3p = -21 + 18
-3p = -21 + 18

Combine like terms: -21 + 18 = -3
-3p = -3

Divide each side by '-3'.
p = 1

Simplifying
p = 1

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