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Simplifying 8p + -31 = 3(3p + -8) Reorder the terms: -31 + 8p = 3(3p + -8) Reorder the terms: -31 + 8p = 3(-8 + 3p) -31 + 8p = (-8 * 3 + 3p * 3) -31 + 8p = (-24 + 9p) Solving -31 + 8p = -24 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -31 + 8p + -9p = -24 + 9p + -9p Combine like terms: 8p + -9p = -1p -31 + -1p = -24 + 9p + -9p Combine like terms: 9p + -9p = 0 -31 + -1p = -24 + 0 -31 + -1p = -24 Add '31' to each side of the equation. -31 + 31 + -1p = -24 + 31 Combine like terms: -31 + 31 = 0 0 + -1p = -24 + 31 -1p = -24 + 31 Combine like terms: -24 + 31 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7
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