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Simplifying -3(3p + 6) + -2(6 + -14p) = 3(2 + 6p) Reorder the terms: -3(6 + 3p) + -2(6 + -14p) = 3(2 + 6p) (6 * -3 + 3p * -3) + -2(6 + -14p) = 3(2 + 6p) (-18 + -9p) + -2(6 + -14p) = 3(2 + 6p) -18 + -9p + (6 * -2 + -14p * -2) = 3(2 + 6p) -18 + -9p + (-12 + 28p) = 3(2 + 6p) Reorder the terms: -18 + -12 + -9p + 28p = 3(2 + 6p) Combine like terms: -18 + -12 = -30 -30 + -9p + 28p = 3(2 + 6p) Combine like terms: -9p + 28p = 19p -30 + 19p = 3(2 + 6p) -30 + 19p = (2 * 3 + 6p * 3) -30 + 19p = (6 + 18p) Solving -30 + 19p = 6 + 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. -30 + 19p + -18p = 6 + 18p + -18p Combine like terms: 19p + -18p = 1p -30 + 1p = 6 + 18p + -18p Combine like terms: 18p + -18p = 0 -30 + 1p = 6 + 0 -30 + 1p = 6 Add '30' to each side of the equation. -30 + 30 + 1p = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 1p = 6 + 30 1p = 6 + 30 Combine like terms: 6 + 30 = 36 1p = 36 Divide each side by '1'. p = 36 Simplifying p = 36
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