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Simplifying 3(p + -1) = 4(2p + 7) Reorder the terms: 3(-1 + p) = 4(2p + 7) (-1 * 3 + p * 3) = 4(2p + 7) (-3 + 3p) = 4(2p + 7) Reorder the terms: -3 + 3p = 4(7 + 2p) -3 + 3p = (7 * 4 + 2p * 4) -3 + 3p = (28 + 8p) Solving -3 + 3p = 28 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -3 + 3p + -8p = 28 + 8p + -8p Combine like terms: 3p + -8p = -5p -3 + -5p = 28 + 8p + -8p Combine like terms: 8p + -8p = 0 -3 + -5p = 28 + 0 -3 + -5p = 28 Add '3' to each side of the equation. -3 + 3 + -5p = 28 + 3 Combine like terms: -3 + 3 = 0 0 + -5p = 28 + 3 -5p = 28 + 3 Combine like terms: 28 + 3 = 31 -5p = 31 Divide each side by '-5'. p = -6.2 Simplifying p = -6.2
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