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Simplifying 2(p + -8) + -1(p + -4) = 3 + 3(p + 5) Reorder the terms: 2(-8 + p) + -1(p + -4) = 3 + 3(p + 5) (-8 * 2 + p * 2) + -1(p + -4) = 3 + 3(p + 5) (-16 + 2p) + -1(p + -4) = 3 + 3(p + 5) Reorder the terms: -16 + 2p + -1(-4 + p) = 3 + 3(p + 5) -16 + 2p + (-4 * -1 + p * -1) = 3 + 3(p + 5) -16 + 2p + (4 + -1p) = 3 + 3(p + 5) Reorder the terms: -16 + 4 + 2p + -1p = 3 + 3(p + 5) Combine like terms: -16 + 4 = -12 -12 + 2p + -1p = 3 + 3(p + 5) Combine like terms: 2p + -1p = 1p -12 + 1p = 3 + 3(p + 5) Reorder the terms: -12 + 1p = 3 + 3(5 + p) -12 + 1p = 3 + (5 * 3 + p * 3) -12 + 1p = 3 + (15 + 3p) Combine like terms: 3 + 15 = 18 -12 + 1p = 18 + 3p Solving -12 + 1p = 18 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -12 + 1p + -3p = 18 + 3p + -3p Combine like terms: 1p + -3p = -2p -12 + -2p = 18 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + -2p = 18 + 0 -12 + -2p = 18 Add '12' to each side of the equation. -12 + 12 + -2p = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -2p = 18 + 12 -2p = 18 + 12 Combine like terms: 18 + 12 = 30 -2p = 30 Divide each side by '-2'. p = -15 Simplifying p = -15
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