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Simplifying -3(3p + 3) + -2(3 + -14p) = 3(9 + 6p) Reorder the terms: -3(3 + 3p) + -2(3 + -14p) = 3(9 + 6p) (3 * -3 + 3p * -3) + -2(3 + -14p) = 3(9 + 6p) (-9 + -9p) + -2(3 + -14p) = 3(9 + 6p) -9 + -9p + (3 * -2 + -14p * -2) = 3(9 + 6p) -9 + -9p + (-6 + 28p) = 3(9 + 6p) Reorder the terms: -9 + -6 + -9p + 28p = 3(9 + 6p) Combine like terms: -9 + -6 = -15 -15 + -9p + 28p = 3(9 + 6p) Combine like terms: -9p + 28p = 19p -15 + 19p = 3(9 + 6p) -15 + 19p = (9 * 3 + 6p * 3) -15 + 19p = (27 + 18p) Solving -15 + 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. -15 + 19p + -18p = 27 + 18p + -18p Combine like terms: 19p + -18p = 1p -15 + 1p = 27 + 18p + -18p Combine like terms: 18p + -18p = 0 -15 + 1p = 27 + 0 -15 + 1p = 27 Add '15' to each side of the equation. -15 + 15 + 1p = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 1p = 27 + 15 1p = 27 + 15 Combine like terms: 27 + 15 = 42 1p = 42 Divide each side by '1'. p = 42 Simplifying p = 42
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