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Simplifying 1 + -5(p + 2) = 2(p + 13) Reorder the terms: 1 + -5(2 + p) = 2(p + 13) 1 + (2 * -5 + p * -5) = 2(p + 13) 1 + (-10 + -5p) = 2(p + 13) Combine like terms: 1 + -10 = -9 -9 + -5p = 2(p + 13) Reorder the terms: -9 + -5p = 2(13 + p) -9 + -5p = (13 * 2 + p * 2) -9 + -5p = (26 + 2p) Solving -9 + -5p = 26 + 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. -9 + -5p + -2p = 26 + 2p + -2p Combine like terms: -5p + -2p = -7p -9 + -7p = 26 + 2p + -2p Combine like terms: 2p + -2p = 0 -9 + -7p = 26 + 0 -9 + -7p = 26 Add '9' to each side of the equation. -9 + 9 + -7p = 26 + 9 Combine like terms: -9 + 9 = 0 0 + -7p = 26 + 9 -7p = 26 + 9 Combine like terms: 26 + 9 = 35 -7p = 35 Divide each side by '-7'. p = -5 Simplifying p = -5
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