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Simplifying -3(3p + 4) + -2(4 + -14p) = 3(5 + 6p) Reorder the terms: -3(4 + 3p) + -2(4 + -14p) = 3(5 + 6p) (4 * -3 + 3p * -3) + -2(4 + -14p) = 3(5 + 6p) (-12 + -9p) + -2(4 + -14p) = 3(5 + 6p) -12 + -9p + (4 * -2 + -14p * -2) = 3(5 + 6p) -12 + -9p + (-8 + 28p) = 3(5 + 6p) Reorder the terms: -12 + -8 + -9p + 28p = 3(5 + 6p) Combine like terms: -12 + -8 = -20 -20 + -9p + 28p = 3(5 + 6p) Combine like terms: -9p + 28p = 19p -20 + 19p = 3(5 + 6p) -20 + 19p = (5 * 3 + 6p * 3) -20 + 19p = (15 + 18p) Solving -20 + 19p = 15 + 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. -20 + 19p + -18p = 15 + 18p + -18p Combine like terms: 19p + -18p = 1p -20 + 1p = 15 + 18p + -18p Combine like terms: 18p + -18p = 0 -20 + 1p = 15 + 0 -20 + 1p = 15 Add '20' to each side of the equation. -20 + 20 + 1p = 15 + 20 Combine like terms: -20 + 20 = 0 0 + 1p = 15 + 20 1p = 15 + 20 Combine like terms: 15 + 20 = 35 1p = 35 Divide each side by '1'. p = 35 Simplifying p = 35
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