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Simplifying -3(3p + 5) + -2(1 + -14p) = 3(5 + 6p) Reorder the terms: -3(5 + 3p) + -2(1 + -14p) = 3(5 + 6p) (5 * -3 + 3p * -3) + -2(1 + -14p) = 3(5 + 6p) (-15 + -9p) + -2(1 + -14p) = 3(5 + 6p) -15 + -9p + (1 * -2 + -14p * -2) = 3(5 + 6p) -15 + -9p + (-2 + 28p) = 3(5 + 6p) Reorder the terms: -15 + -2 + -9p + 28p = 3(5 + 6p) Combine like terms: -15 + -2 = -17 -17 + -9p + 28p = 3(5 + 6p) Combine like terms: -9p + 28p = 19p -17 + 19p = 3(5 + 6p) -17 + 19p = (5 * 3 + 6p * 3) -17 + 19p = (15 + 18p) Solving -17 + 19p = 15 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -17 + 19p + -18p = 15 + 18p + -18p Combine like terms: 19p + -18p = 1p -17 + 1p = 15 + 18p + -18p Combine like terms: 18p + -18p = 0 -17 + 1p = 15 + 0 -17 + 1p = 15 Add '17' to each side of the equation. -17 + 17 + 1p = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 1p = 15 + 17 1p = 15 + 17 Combine like terms: 15 + 17 = 32 1p = 32 Divide each side by '1'. p = 32 Simplifying p = 32
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