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Simplifying 10(6p + 5) = -5(3p + 91) Reorder the terms: 10(5 + 6p) = -5(3p + 91) (5 * 10 + 6p * 10) = -5(3p + 91) (50 + 60p) = -5(3p + 91) Reorder the terms: 50 + 60p = -5(91 + 3p) 50 + 60p = (91 * -5 + 3p * -5) 50 + 60p = (-455 + -15p) Solving 50 + 60p = -455 + -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. 50 + 60p + 15p = -455 + -15p + 15p Combine like terms: 60p + 15p = 75p 50 + 75p = -455 + -15p + 15p Combine like terms: -15p + 15p = 0 50 + 75p = -455 + 0 50 + 75p = -455 Add '-50' to each side of the equation. 50 + -50 + 75p = -455 + -50 Combine like terms: 50 + -50 = 0 0 + 75p = -455 + -50 75p = -455 + -50 Combine like terms: -455 + -50 = -505 75p = -505 Divide each side by '75'. p = -6.733333333 Simplifying p = -6.733333333
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