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Simplifying 8p + 7 = 3(6 + -1p) Reorder the terms: 7 + 8p = 3(6 + -1p) 7 + 8p = (6 * 3 + -1p * 3) 7 + 8p = (18 + -3p) Solving 7 + 8p = 18 + -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 + 8p + 3p = 18 + -3p + 3p Combine like terms: 8p + 3p = 11p 7 + 11p = 18 + -3p + 3p Combine like terms: -3p + 3p = 0 7 + 11p = 18 + 0 7 + 11p = 18 Add '-7' to each side of the equation. 7 + -7 + 11p = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 11p = 18 + -7 11p = 18 + -7 Combine like terms: 18 + -7 = 11 11p = 11 Divide each side by '11'. p = 1 Simplifying p = 1
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