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Simplifying 5(6 + 3p) = 5(p + -4) (6 * 5 + 3p * 5) = 5(p + -4) (30 + 15p) = 5(p + -4) Reorder the terms: 30 + 15p = 5(-4 + p) 30 + 15p = (-4 * 5 + p * 5) 30 + 15p = (-20 + 5p) Solving 30 + 15p = -20 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 30 + 15p + -5p = -20 + 5p + -5p Combine like terms: 15p + -5p = 10p 30 + 10p = -20 + 5p + -5p Combine like terms: 5p + -5p = 0 30 + 10p = -20 + 0 30 + 10p = -20 Add '-30' to each side of the equation. 30 + -30 + 10p = -20 + -30 Combine like terms: 30 + -30 = 0 0 + 10p = -20 + -30 10p = -20 + -30 Combine like terms: -20 + -30 = -50 10p = -50 Divide each side by '10'. p = -5 Simplifying p = -5
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