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Simplifying 5p + 7 = 3(4 + -1p) Reorder the terms: 7 + 5p = 3(4 + -1p) 7 + 5p = (4 * 3 + -1p * 3) 7 + 5p = (12 + -3p) Solving 7 + 5p = 12 + -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. 7 + 5p + 3p = 12 + -3p + 3p Combine like terms: 5p + 3p = 8p 7 + 8p = 12 + -3p + 3p Combine like terms: -3p + 3p = 0 7 + 8p = 12 + 0 7 + 8p = 12 Add '-7' to each side of the equation. 7 + -7 + 8p = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 8p = 12 + -7 8p = 12 + -7 Combine like terms: 12 + -7 = 5 8p = 5 Divide each side by '8'. p = 0.625 Simplifying p = 0.625
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