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Simplifying 1 + -12p + 1 + 12p = -1(-8p + 8) + 2(p + -5) Reorder the terms: 1 + 1 + -12p + 12p = -1(-8p + 8) + 2(p + -5) Combine like terms: 1 + 1 = 2 2 + -12p + 12p = -1(-8p + 8) + 2(p + -5) Combine like terms: -12p + 12p = 0 2 + 0 = -1(-8p + 8) + 2(p + -5) 2 = -1(-8p + 8) + 2(p + -5) Reorder the terms: 2 = -1(8 + -8p) + 2(p + -5) 2 = (8 * -1 + -8p * -1) + 2(p + -5) 2 = (-8 + 8p) + 2(p + -5) Reorder the terms: 2 = -8 + 8p + 2(-5 + p) 2 = -8 + 8p + (-5 * 2 + p * 2) 2 = -8 + 8p + (-10 + 2p) Reorder the terms: 2 = -8 + -10 + 8p + 2p Combine like terms: -8 + -10 = -18 2 = -18 + 8p + 2p Combine like terms: 8p + 2p = 10p 2 = -18 + 10p Solving 2 = -18 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 2 + -10p = -18 + 10p + -10p Combine like terms: 10p + -10p = 0 2 + -10p = -18 + 0 2 + -10p = -18 Add '-2' to each side of the equation. 2 + -2 + -10p = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -10p = -18 + -2 -10p = -18 + -2 Combine like terms: -18 + -2 = -20 -10p = -20 Divide each side by '-10'. p = 2 Simplifying p = 2
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