12=8(1-2p)+2(7p-6)

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Solution for 12=8(1-2p)+2(7p-6) equation:


Simplifying
12 = 8(1 + -2p) + 2(7p + -6)
12 = (1 * 8 + -2p * 8) + 2(7p + -6)
12 = (8 + -16p) + 2(7p + -6)

Reorder the terms:
12 = 8 + -16p + 2(-6 + 7p)
12 = 8 + -16p + (-6 * 2 + 7p * 2)
12 = 8 + -16p + (-12 + 14p)

Reorder the terms:
12 = 8 + -12 + -16p + 14p

Combine like terms: 8 + -12 = -4
12 = -4 + -16p + 14p

Combine like terms: -16p + 14p = -2p
12 = -4 + -2p

Solving
12 = -4 + -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.
12 + 2p = -4 + -2p + 2p

Combine like terms: -2p + 2p = 0
12 + 2p = -4 + 0
12 + 2p = -4

Add '-12' to each side of the equation.
12 + -12 + 2p = -4 + -12

Combine like terms: 12 + -12 = 0
0 + 2p = -4 + -12
2p = -4 + -12

Combine like terms: -4 + -12 = -16
2p = -16

Divide each side by '2'.
p = -8

Simplifying
p = -8

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