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Simplifying 8(p + -8) = 3(p + 9) Reorder the terms: 8(-8 + p) = 3(p + 9) (-8 * 8 + p * 8) = 3(p + 9) (-64 + 8p) = 3(p + 9) Reorder the terms: -64 + 8p = 3(9 + p) -64 + 8p = (9 * 3 + p * 3) -64 + 8p = (27 + 3p) Solving -64 + 8p = 27 + 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. -64 + 8p + -3p = 27 + 3p + -3p Combine like terms: 8p + -3p = 5p -64 + 5p = 27 + 3p + -3p Combine like terms: 3p + -3p = 0 -64 + 5p = 27 + 0 -64 + 5p = 27 Add '64' to each side of the equation. -64 + 64 + 5p = 27 + 64 Combine like terms: -64 + 64 = 0 0 + 5p = 27 + 64 5p = 27 + 64 Combine like terms: 27 + 64 = 91 5p = 91 Divide each side by '5'. p = 18.2 Simplifying p = 18.2
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