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Simplifying -3(3p + 3) + -2(5 + -14p) = 3(9 + 6p) Reorder the terms: -3(3 + 3p) + -2(5 + -14p) = 3(9 + 6p) (3 * -3 + 3p * -3) + -2(5 + -14p) = 3(9 + 6p) (-9 + -9p) + -2(5 + -14p) = 3(9 + 6p) -9 + -9p + (5 * -2 + -14p * -2) = 3(9 + 6p) -9 + -9p + (-10 + 28p) = 3(9 + 6p) Reorder the terms: -9 + -10 + -9p + 28p = 3(9 + 6p) Combine like terms: -9 + -10 = -19 -19 + -9p + 28p = 3(9 + 6p) Combine like terms: -9p + 28p = 19p -19 + 19p = 3(9 + 6p) -19 + 19p = (9 * 3 + 6p * 3) -19 + 19p = (27 + 18p) Solving -19 + 19p = 27 + 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. -19 + 19p + -18p = 27 + 18p + -18p Combine like terms: 19p + -18p = 1p -19 + 1p = 27 + 18p + -18p Combine like terms: 18p + -18p = 0 -19 + 1p = 27 + 0 -19 + 1p = 27 Add '19' to each side of the equation. -19 + 19 + 1p = 27 + 19 Combine like terms: -19 + 19 = 0 0 + 1p = 27 + 19 1p = 27 + 19 Combine like terms: 27 + 19 = 46 1p = 46 Divide each side by '1'. p = 46 Simplifying p = 46
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