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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 = -12 -12 + 5p + -2p = 12 Combine like terms: 5p + -2p = 3p -12 + 3p = 12 Solving -12 + 3p = 12 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3p = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = 12 + 12 3p = 12 + 12 Combine like terms: 12 + 12 = 24 3p = 24 Divide each side by '3'. p = 8 Simplifying p = 8
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