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

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


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

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

Combine like terms: 8 + 2 = 10
10 + 6p + -2p = -2(4p + 7) + -8(6 + -6p)

Combine like terms: 6p + -2p = 4p
10 + 4p = -2(4p + 7) + -8(6 + -6p)

Reorder the terms:
10 + 4p = -2(7 + 4p) + -8(6 + -6p)
10 + 4p = (7 * -2 + 4p * -2) + -8(6 + -6p)
10 + 4p = (-14 + -8p) + -8(6 + -6p)
10 + 4p = -14 + -8p + (6 * -8 + -6p * -8)
10 + 4p = -14 + -8p + (-48 + 48p)

Reorder the terms:
10 + 4p = -14 + -48 + -8p + 48p

Combine like terms: -14 + -48 = -62
10 + 4p = -62 + -8p + 48p

Combine like terms: -8p + 48p = 40p
10 + 4p = -62 + 40p

Solving
10 + 4p = -62 + 40p

Solving for variable 'p'.

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

Add '-40p' to each side of the equation.
10 + 4p + -40p = -62 + 40p + -40p

Combine like terms: 4p + -40p = -36p
10 + -36p = -62 + 40p + -40p

Combine like terms: 40p + -40p = 0
10 + -36p = -62 + 0
10 + -36p = -62

Add '-10' to each side of the equation.
10 + -10 + -36p = -62 + -10

Combine like terms: 10 + -10 = 0
0 + -36p = -62 + -10
-36p = -62 + -10

Combine like terms: -62 + -10 = -72
-36p = -72

Divide each side by '-36'.
p = 2

Simplifying
p = 2

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