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Simplifying 3p + 7 = 5(7 + -1p) Reorder the terms: 7 + 3p = 5(7 + -1p) 7 + 3p = (7 * 5 + -1p * 5) 7 + 3p = (35 + -5p) Solving 7 + 3p = 35 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 7 + 3p + 5p = 35 + -5p + 5p Combine like terms: 3p + 5p = 8p 7 + 8p = 35 + -5p + 5p Combine like terms: -5p + 5p = 0 7 + 8p = 35 + 0 7 + 8p = 35 Add '-7' to each side of the equation. 7 + -7 + 8p = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 8p = 35 + -7 8p = 35 + -7 Combine like terms: 35 + -7 = 28 8p = 28 Divide each side by '8'. p = 3.5 Simplifying p = 3.5
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