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Simplifying -3(3p + 6) + -2(3 + -14p) = 3(8 + 6p) Reorder the terms: -3(6 + 3p) + -2(3 + -14p) = 3(8 + 6p) (6 * -3 + 3p * -3) + -2(3 + -14p) = 3(8 + 6p) (-18 + -9p) + -2(3 + -14p) = 3(8 + 6p) -18 + -9p + (3 * -2 + -14p * -2) = 3(8 + 6p) -18 + -9p + (-6 + 28p) = 3(8 + 6p) Reorder the terms: -18 + -6 + -9p + 28p = 3(8 + 6p) Combine like terms: -18 + -6 = -24 -24 + -9p + 28p = 3(8 + 6p) Combine like terms: -9p + 28p = 19p -24 + 19p = 3(8 + 6p) -24 + 19p = (8 * 3 + 6p * 3) -24 + 19p = (24 + 18p) Solving -24 + 19p = 24 + 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. -24 + 19p + -18p = 24 + 18p + -18p Combine like terms: 19p + -18p = 1p -24 + 1p = 24 + 18p + -18p Combine like terms: 18p + -18p = 0 -24 + 1p = 24 + 0 -24 + 1p = 24 Add '24' to each side of the equation. -24 + 24 + 1p = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 1p = 24 + 24 1p = 24 + 24 Combine like terms: 24 + 24 = 48 1p = 48 Divide each side by '1'. p = 48 Simplifying p = 48
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