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Simplifying 5(p + 3) + 9 = 3(11 + -4r) + -58 Reorder the terms: 5(3 + p) + 9 = 3(11 + -4r) + -58 (3 * 5 + p * 5) + 9 = 3(11 + -4r) + -58 (15 + 5p) + 9 = 3(11 + -4r) + -58 Reorder the terms: 15 + 9 + 5p = 3(11 + -4r) + -58 Combine like terms: 15 + 9 = 24 24 + 5p = 3(11 + -4r) + -58 24 + 5p = (11 * 3 + -4r * 3) + -58 24 + 5p = (33 + -12r) + -58 Reorder the terms: 24 + 5p = 33 + -58 + -12r Combine like terms: 33 + -58 = -25 24 + 5p = -25 + -12r Solving 24 + 5p = -25 + -12r Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5p = -25 + -24 + -12r Combine like terms: 24 + -24 = 0 0 + 5p = -25 + -24 + -12r 5p = -25 + -24 + -12r Combine like terms: -25 + -24 = -49 5p = -49 + -12r Divide each side by '5'. p = -9.8 + -2.4r Simplifying p = -9.8 + -2.4r
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