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Simplifying 2[p + -1(2p + 17) + 12] = 2(p + 5) Reorder the terms: 2[p + -1(17 + 2p) + 12] = 2(p + 5) 2[p + (17 * -1 + 2p * -1) + 12] = 2(p + 5) 2[p + (-17 + -2p) + 12] = 2(p + 5) Reorder the terms: 2[-17 + 12 + p + -2p] = 2(p + 5) Combine like terms: -17 + 12 = -5 2[-5 + p + -2p] = 2(p + 5) Combine like terms: p + -2p = -1p 2[-5 + -1p] = 2(p + 5) [-5 * 2 + -1p * 2] = 2(p + 5) [-10 + -2p] = 2(p + 5) Reorder the terms: -10 + -2p = 2(5 + p) -10 + -2p = (5 * 2 + p * 2) -10 + -2p = (10 + 2p) Solving -10 + -2p = 10 + 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. -10 + -2p + -2p = 10 + 2p + -2p Combine like terms: -2p + -2p = -4p -10 + -4p = 10 + 2p + -2p Combine like terms: 2p + -2p = 0 -10 + -4p = 10 + 0 -10 + -4p = 10 Add '10' to each side of the equation. -10 + 10 + -4p = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -4p = 10 + 10 -4p = 10 + 10 Combine like terms: 10 + 10 = 20 -4p = 20 Divide each side by '-4'. p = -5 Simplifying p = -5
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