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