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Simplifying 5(p + 2) = 2(p + -1) Reorder the terms: 5(2 + p) = 2(p + -1) (2 * 5 + p * 5) = 2(p + -1) (10 + 5p) = 2(p + -1) Reorder the terms: 10 + 5p = 2(-1 + p) 10 + 5p = (-1 * 2 + p * 2) 10 + 5p = (-2 + 2p) Solving 10 + 5p = -2 + 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 + 5p + -2p = -2 + 2p + -2p Combine like terms: 5p + -2p = 3p 10 + 3p = -2 + 2p + -2p Combine like terms: 2p + -2p = 0 10 + 3p = -2 + 0 10 + 3p = -2 Add '-10' to each side of the equation. 10 + -10 + 3p = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 3p = -2 + -10 3p = -2 + -10 Combine like terms: -2 + -10 = -12 3p = -12 Divide each side by '3'. p = -4 Simplifying p = -4
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