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Simplifying 5 + -1(6 + -6p) = -15 + 8p 5 + (6 * -1 + -6p * -1) = -15 + 8p 5 + (-6 + 6p) = -15 + 8p Combine like terms: 5 + -6 = -1 -1 + 6p = -15 + 8p Solving -1 + 6p = -15 + 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. -1 + 6p + -8p = -15 + 8p + -8p Combine like terms: 6p + -8p = -2p -1 + -2p = -15 + 8p + -8p Combine like terms: 8p + -8p = 0 -1 + -2p = -15 + 0 -1 + -2p = -15 Add '1' to each side of the equation. -1 + 1 + -2p = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -2p = -15 + 1 -2p = -15 + 1 Combine like terms: -15 + 1 = -14 -2p = -14 Divide each side by '-2'. p = 7 Simplifying p = 7
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