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

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


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

Reorder the terms:
7p + -1(4 + 3p) = -2(2p + -1) + -10
7p + (4 * -1 + 3p * -1) = -2(2p + -1) + -10
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 = -8
-4 + 4p = -8 + -4p

Solving
-4 + 4p = -8 + -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 = -8 + -4p + 4p

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

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

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

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

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

Divide each side by '8'.
p = -0.5

Simplifying
p = -0.5

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