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Simplifying 5(p + 2) + -1(2p + 2) = 12 Reorder the terms: 5(2 + p) + -1(2p + 2) = 12 (2 * 5 + p * 5) + -1(2p + 2) = 12 (10 + 5p) + -1(2p + 2) = 12 Reorder the terms: 10 + 5p + -1(2 + 2p) = 12 10 + 5p + (2 * -1 + 2p * -1) = 12 10 + 5p + (-2 + -2p) = 12 Reorder the terms: 10 + -2 + 5p + -2p = 12 Combine like terms: 10 + -2 = 8 8 + 5p + -2p = 12 Combine like terms: 5p + -2p = 3p 8 + 3p = 12 Solving 8 + 3p = 12 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3p = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 3p = 12 + -8 3p = 12 + -8 Combine like terms: 12 + -8 = 4 3p = 4 Divide each side by '3'. p = 1.333333333 Simplifying p = 1.333333333
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