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