6(-8p+6)-4=-2(p+7)

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Solution for 6(-8p+6)-4=-2(p+7) equation:


Simplifying
6(-8p + 6) + -4 = -2(p + 7)

Reorder the terms:
6(6 + -8p) + -4 = -2(p + 7)
(6 * 6 + -8p * 6) + -4 = -2(p + 7)
(36 + -48p) + -4 = -2(p + 7)

Reorder the terms:
36 + -4 + -48p = -2(p + 7)

Combine like terms: 36 + -4 = 32
32 + -48p = -2(p + 7)

Reorder the terms:
32 + -48p = -2(7 + p)
32 + -48p = (7 * -2 + p * -2)
32 + -48p = (-14 + -2p)

Solving
32 + -48p = -14 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
32 + -48p + 2p = -14 + -2p + 2p

Combine like terms: -48p + 2p = -46p
32 + -46p = -14 + -2p + 2p

Combine like terms: -2p + 2p = 0
32 + -46p = -14 + 0
32 + -46p = -14

Add '-32' to each side of the equation.
32 + -32 + -46p = -14 + -32

Combine like terms: 32 + -32 = 0
0 + -46p = -14 + -32
-46p = -14 + -32

Combine like terms: -14 + -32 = -46
-46p = -46

Divide each side by '-46'.
p = 1

Simplifying
p = 1

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