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Simplifying -3(3p + 5) + -2(1 + -11p) = 3(8 + 2p) Reorder the terms: -3(5 + 3p) + -2(1 + -11p) = 3(8 + 2p) (5 * -3 + 3p * -3) + -2(1 + -11p) = 3(8 + 2p) (-15 + -9p) + -2(1 + -11p) = 3(8 + 2p) -15 + -9p + (1 * -2 + -11p * -2) = 3(8 + 2p) -15 + -9p + (-2 + 22p) = 3(8 + 2p) Reorder the terms: -15 + -2 + -9p + 22p = 3(8 + 2p) Combine like terms: -15 + -2 = -17 -17 + -9p + 22p = 3(8 + 2p) Combine like terms: -9p + 22p = 13p -17 + 13p = 3(8 + 2p) -17 + 13p = (8 * 3 + 2p * 3) -17 + 13p = (24 + 6p) Solving -17 + 13p = 24 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -17 + 13p + -6p = 24 + 6p + -6p Combine like terms: 13p + -6p = 7p -17 + 7p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 -17 + 7p = 24 + 0 -17 + 7p = 24 Add '17' to each side of the equation. -17 + 17 + 7p = 24 + 17 Combine like terms: -17 + 17 = 0 0 + 7p = 24 + 17 7p = 24 + 17 Combine like terms: 24 + 17 = 41 7p = 41 Divide each side by '7'. p = 5.857142857 Simplifying p = 5.857142857
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