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Simplifying 8(p + -1) = 3(p + 3) Reorder the terms: 8(-1 + p) = 3(p + 3) (-1 * 8 + p * 8) = 3(p + 3) (-8 + 8p) = 3(p + 3) Reorder the terms: -8 + 8p = 3(3 + p) -8 + 8p = (3 * 3 + p * 3) -8 + 8p = (9 + 3p) Solving -8 + 8p = 9 + 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. -8 + 8p + -3p = 9 + 3p + -3p Combine like terms: 8p + -3p = 5p -8 + 5p = 9 + 3p + -3p Combine like terms: 3p + -3p = 0 -8 + 5p = 9 + 0 -8 + 5p = 9 Add '8' to each side of the equation. -8 + 8 + 5p = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = 9 + 8 5p = 9 + 8 Combine like terms: 9 + 8 = 17 5p = 17 Divide each side by '5'. p = 3.4 Simplifying p = 3.4
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