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Simplifying 5(p + 2) + 8 = 2(p + -1) + -7p + 15 Reorder the terms: 5(2 + p) + 8 = 2(p + -1) + -7p + 15 (2 * 5 + p * 5) + 8 = 2(p + -1) + -7p + 15 (10 + 5p) + 8 = 2(p + -1) + -7p + 15 Reorder the terms: 10 + 8 + 5p = 2(p + -1) + -7p + 15 Combine like terms: 10 + 8 = 18 18 + 5p = 2(p + -1) + -7p + 15 Reorder the terms: 18 + 5p = 2(-1 + p) + -7p + 15 18 + 5p = (-1 * 2 + p * 2) + -7p + 15 18 + 5p = (-2 + 2p) + -7p + 15 Reorder the terms: 18 + 5p = -2 + 15 + 2p + -7p Combine like terms: -2 + 15 = 13 18 + 5p = 13 + 2p + -7p Combine like terms: 2p + -7p = -5p 18 + 5p = 13 + -5p Solving 18 + 5p = 13 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 18 + 5p + 5p = 13 + -5p + 5p Combine like terms: 5p + 5p = 10p 18 + 10p = 13 + -5p + 5p Combine like terms: -5p + 5p = 0 18 + 10p = 13 + 0 18 + 10p = 13 Add '-18' to each side of the equation. 18 + -18 + 10p = 13 + -18 Combine like terms: 18 + -18 = 0 0 + 10p = 13 + -18 10p = 13 + -18 Combine like terms: 13 + -18 = -5 10p = -5 Divide each side by '10'. p = -0.5 Simplifying p = -0.5
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