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Simplifying 4p + -1(8p + 15) = 8 + -1(6p + -6) Reorder the terms: 4p + -1(15 + 8p) = 8 + -1(6p + -6) 4p + (15 * -1 + 8p * -1) = 8 + -1(6p + -6) 4p + (-15 + -8p) = 8 + -1(6p + -6) Reorder the terms: -15 + 4p + -8p = 8 + -1(6p + -6) Combine like terms: 4p + -8p = -4p -15 + -4p = 8 + -1(6p + -6) Reorder the terms: -15 + -4p = 8 + -1(-6 + 6p) -15 + -4p = 8 + (-6 * -1 + 6p * -1) -15 + -4p = 8 + (6 + -6p) Combine like terms: 8 + 6 = 14 -15 + -4p = 14 + -6p Solving -15 + -4p = 14 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -15 + -4p + 6p = 14 + -6p + 6p Combine like terms: -4p + 6p = 2p -15 + 2p = 14 + -6p + 6p Combine like terms: -6p + 6p = 0 -15 + 2p = 14 + 0 -15 + 2p = 14 Add '15' to each side of the equation. -15 + 15 + 2p = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = 14 + 15 2p = 14 + 15 Combine like terms: 14 + 15 = 29 2p = 29 Divide each side by '2'. p = 14.5 Simplifying p = 14.5
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