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

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


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

Combine like terms: 7p + -1p = 6p
6p = -2(p + 4) + -7(-2 + -1p)

Reorder the terms:
6p = -2(4 + p) + -7(-2 + -1p)
6p = (4 * -2 + p * -2) + -7(-2 + -1p)
6p = (-8 + -2p) + -7(-2 + -1p)
6p = -8 + -2p + (-2 * -7 + -1p * -7)
6p = -8 + -2p + (14 + 7p)

Reorder the terms:
6p = -8 + 14 + -2p + 7p

Combine like terms: -8 + 14 = 6
6p = 6 + -2p + 7p

Combine like terms: -2p + 7p = 5p
6p = 6 + 5p

Solving
6p = 6 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
6p + -5p = 6 + 5p + -5p

Combine like terms: 6p + -5p = 1p
1p = 6 + 5p + -5p

Combine like terms: 5p + -5p = 0
1p = 6 + 0
1p = 6

Divide each side by '1'.
p = 6

Simplifying
p = 6

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