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Simplifying -3(3p + 3) + -2(6 + -14p) = 3(8 + 6p) Reorder the terms: -3(3 + 3p) + -2(6 + -14p) = 3(8 + 6p) (3 * -3 + 3p * -3) + -2(6 + -14p) = 3(8 + 6p) (-9 + -9p) + -2(6 + -14p) = 3(8 + 6p) -9 + -9p + (6 * -2 + -14p * -2) = 3(8 + 6p) -9 + -9p + (-12 + 28p) = 3(8 + 6p) Reorder the terms: -9 + -12 + -9p + 28p = 3(8 + 6p) Combine like terms: -9 + -12 = -21 -21 + -9p + 28p = 3(8 + 6p) Combine like terms: -9p + 28p = 19p -21 + 19p = 3(8 + 6p) -21 + 19p = (8 * 3 + 6p * 3) -21 + 19p = (24 + 18p) Solving -21 + 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. -21 + 19p + -18p = 24 + 18p + -18p Combine like terms: 19p + -18p = 1p -21 + 1p = 24 + 18p + -18p Combine like terms: 18p + -18p = 0 -21 + 1p = 24 + 0 -21 + 1p = 24 Add '21' to each side of the equation. -21 + 21 + 1p = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 1p = 24 + 21 1p = 24 + 21 Combine like terms: 24 + 21 = 45 1p = 45 Divide each side by '1'. p = 45 Simplifying p = 45
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