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Simplifying 2(p + 1) = 5p + -7 Reorder the terms: 2(1 + p) = 5p + -7 (1 * 2 + p * 2) = 5p + -7 (2 + 2p) = 5p + -7 Reorder the terms: 2 + 2p = -7 + 5p Solving 2 + 2p = -7 + 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. 2 + 2p + -5p = -7 + 5p + -5p Combine like terms: 2p + -5p = -3p 2 + -3p = -7 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + -3p = -7 + 0 2 + -3p = -7 Add '-2' to each side of the equation. 2 + -2 + -3p = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = -7 + -2 -3p = -7 + -2 Combine like terms: -7 + -2 = -9 -3p = -9 Divide each side by '-3'. p = 3 Simplifying p = 3
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