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Simplifying 5(12 + -3p) = 15p + 6 (12 * 5 + -3p * 5) = 15p + 6 (60 + -15p) = 15p + 6 Reorder the terms: 60 + -15p = 6 + 15p Solving 60 + -15p = 6 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 60 + -15p + -15p = 6 + 15p + -15p Combine like terms: -15p + -15p = -30p 60 + -30p = 6 + 15p + -15p Combine like terms: 15p + -15p = 0 60 + -30p = 6 + 0 60 + -30p = 6 Add '-60' to each side of the equation. 60 + -60 + -30p = 6 + -60 Combine like terms: 60 + -60 = 0 0 + -30p = 6 + -60 -30p = 6 + -60 Combine like terms: 6 + -60 = -54 -30p = -54 Divide each side by '-30'. p = 1.8 Simplifying p = 1.8
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