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Simplifying 5(p + -6) = 3(8 + -1p) Reorder the terms: 5(-6 + p) = 3(8 + -1p) (-6 * 5 + p * 5) = 3(8 + -1p) (-30 + 5p) = 3(8 + -1p) -30 + 5p = (8 * 3 + -1p * 3) -30 + 5p = (24 + -3p) Solving -30 + 5p = 24 + -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. -30 + 5p + 3p = 24 + -3p + 3p Combine like terms: 5p + 3p = 8p -30 + 8p = 24 + -3p + 3p Combine like terms: -3p + 3p = 0 -30 + 8p = 24 + 0 -30 + 8p = 24 Add '30' to each side of the equation. -30 + 30 + 8p = 24 + 30 Combine like terms: -30 + 30 = 0 0 + 8p = 24 + 30 8p = 24 + 30 Combine like terms: 24 + 30 = 54 8p = 54 Divide each side by '8'. p = 6.75 Simplifying p = 6.75
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