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Simplifying 6p + -1(5p + 5) = -8(p + 12) Reorder the terms: 6p + -1(5 + 5p) = -8(p + 12) 6p + (5 * -1 + 5p * -1) = -8(p + 12) 6p + (-5 + -5p) = -8(p + 12) Reorder the terms: -5 + 6p + -5p = -8(p + 12) Combine like terms: 6p + -5p = 1p -5 + 1p = -8(p + 12) Reorder the terms: -5 + 1p = -8(12 + p) -5 + 1p = (12 * -8 + p * -8) -5 + 1p = (-96 + -8p) Solving -5 + 1p = -96 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -5 + 1p + 8p = -96 + -8p + 8p Combine like terms: 1p + 8p = 9p -5 + 9p = -96 + -8p + 8p Combine like terms: -8p + 8p = 0 -5 + 9p = -96 + 0 -5 + 9p = -96 Add '5' to each side of the equation. -5 + 5 + 9p = -96 + 5 Combine like terms: -5 + 5 = 0 0 + 9p = -96 + 5 9p = -96 + 5 Combine like terms: -96 + 5 = -91 9p = -91 Divide each side by '9'. p = -10.11111111 Simplifying p = -10.11111111
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