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Simplifying 3(p + 7) + -1(p + -4) = 12 Reorder the terms: 3(7 + p) + -1(p + -4) = 12 (7 * 3 + p * 3) + -1(p + -4) = 12 (21 + 3p) + -1(p + -4) = 12 Reorder the terms: 21 + 3p + -1(-4 + p) = 12 21 + 3p + (-4 * -1 + p * -1) = 12 21 + 3p + (4 + -1p) = 12 Reorder the terms: 21 + 4 + 3p + -1p = 12 Combine like terms: 21 + 4 = 25 25 + 3p + -1p = 12 Combine like terms: 3p + -1p = 2p 25 + 2p = 12 Solving 25 + 2p = 12 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 2p = 12 + -25 Combine like terms: 25 + -25 = 0 0 + 2p = 12 + -25 2p = 12 + -25 Combine like terms: 12 + -25 = -13 2p = -13 Divide each side by '2'. p = -6.5 Simplifying p = -6.5
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