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Simplifying -5 = -5(1 + 2p) + 8(p + -1) -5 = (1 * -5 + 2p * -5) + 8(p + -1) -5 = (-5 + -10p) + 8(p + -1) Reorder the terms: -5 = -5 + -10p + 8(-1 + p) -5 = -5 + -10p + (-1 * 8 + p * 8) -5 = -5 + -10p + (-8 + 8p) Reorder the terms: -5 = -5 + -8 + -10p + 8p Combine like terms: -5 + -8 = -13 -5 = -13 + -10p + 8p Combine like terms: -10p + 8p = -2p -5 = -13 + -2p Solving -5 = -13 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -5 + 2p = -13 + -2p + 2p Combine like terms: -2p + 2p = 0 -5 + 2p = -13 + 0 -5 + 2p = -13 Add '5' to each side of the equation. -5 + 5 + 2p = -13 + 5 Combine like terms: -5 + 5 = 0 0 + 2p = -13 + 5 2p = -13 + 5 Combine like terms: -13 + 5 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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