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