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Simplifying 3(2p + 7) * 15 = (p + -4) Reorder the terms: 3(7 + 2p) * 15 = (p + -4) Reorder the terms for easier multiplication: 3 * 15(7 + 2p) = (p + -4) Multiply 3 * 15 45(7 + 2p) = (p + -4) (7 * 45 + 2p * 45) = (p + -4) (315 + 90p) = (p + -4) Reorder the terms: 315 + 90p = (-4 + p) Remove parenthesis around (-4 + p) 315 + 90p = -4 + p Solving 315 + 90p = -4 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 315 + 90p + -1p = -4 + p + -1p Combine like terms: 90p + -1p = 89p 315 + 89p = -4 + p + -1p Combine like terms: p + -1p = 0 315 + 89p = -4 + 0 315 + 89p = -4 Add '-315' to each side of the equation. 315 + -315 + 89p = -4 + -315 Combine like terms: 315 + -315 = 0 0 + 89p = -4 + -315 89p = -4 + -315 Combine like terms: -4 + -315 = -319 89p = -319 Divide each side by '89'. p = -3.584269663 Simplifying p = -3.584269663
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