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

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

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

Combine like terms: -2 + 10 = 8
4 + 10p = 8 + -4p

Solving
4 + 10p = 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 + 10p + 4p = 8 + -4p + 4p

Combine like terms: 10p + 4p = 14p
4 + 14p = 8 + -4p + 4p

Combine like terms: -4p + 4p = 0
4 + 14p = 8 + 0
4 + 14p = 8

Add '-4' to each side of the equation.
4 + -4 + 14p = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 14p = 8 + -4
14p = 8 + -4

Combine like terms: 8 + -4 = 4
14p = 4

Divide each side by '14'.
p = 0.2857142857

Simplifying
p = 0.2857142857

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