7p+(-3p+4)=-2(2p+-1)+10

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Solution for 7p+(-3p+4)=-2(2p+-1)+10 equation: 


Simplifying
7p + (-3p + 4) = -2(2p + -1) + 10

Reorder the terms:
7p + (4 + -3p) = -2(2p + -1) + 10

Remove parenthesis around (4 + -3p)
7p + 4 + -3p = -2(2p + -1) + 10

Reorder the terms:
4 + 7p + -3p = -2(2p + -1) + 10

Combine like terms: 7p + -3p = 4p
4 + 4p = -2(2p + -1) + 10

Reorder the terms:
4 + 4p = -2(-1 + 2p) + 10
4 + 4p = (-1 * -2 + 2p * -2) + 10
4 + 4p = (2 + -4p) + 10

Reorder the terms:
4 + 4p = 2 + 10 + -4p

Combine like terms: 2 + 10 = 12
4 + 4p = 12 + -4p

Solving
4 + 4p = 12 + -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
4 + 4p + 4p = 12 + -4p + 4p

Combine like terms: 4p + 4p = 8p
4 + 8p = 12 + -4p + 4p

Combine like terms: -4p + 4p = 0
4 + 8p = 12 + 0
4 + 8p = 12

Add '-4' to each side of the equation.
4 + -4 + 8p = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 8p = 12 + -4
8p = 12 + -4

Combine like terms: 12 + -4 = 8
8p = 8

Divide each side by '8'.
p = 1

Simplifying
p = 1

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