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Simplifying 5(5p + 6) + 5(1 + -3p) = 75 Reorder the terms: 5(6 + 5p) + 5(1 + -3p) = 75 (6 * 5 + 5p * 5) + 5(1 + -3p) = 75 (30 + 25p) + 5(1 + -3p) = 75 30 + 25p + (1 * 5 + -3p * 5) = 75 30 + 25p + (5 + -15p) = 75 Reorder the terms: 30 + 5 + 25p + -15p = 75 Combine like terms: 30 + 5 = 35 35 + 25p + -15p = 75 Combine like terms: 25p + -15p = 10p 35 + 10p = 75 Solving 35 + 10p = 75 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 10p = 75 + -35 Combine like terms: 35 + -35 = 0 0 + 10p = 75 + -35 10p = 75 + -35 Combine like terms: 75 + -35 = 40 10p = 40 Divide each side by '10'. p = 4 Simplifying p = 4
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