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Simplifying -3(6p + 3) + -2(4 + -14p) = 3(6 + 3p) Reorder the terms: -3(3 + 6p) + -2(4 + -14p) = 3(6 + 3p) (3 * -3 + 6p * -3) + -2(4 + -14p) = 3(6 + 3p) (-9 + -18p) + -2(4 + -14p) = 3(6 + 3p) -9 + -18p + (4 * -2 + -14p * -2) = 3(6 + 3p) -9 + -18p + (-8 + 28p) = 3(6 + 3p) Reorder the terms: -9 + -8 + -18p + 28p = 3(6 + 3p) Combine like terms: -9 + -8 = -17 -17 + -18p + 28p = 3(6 + 3p) Combine like terms: -18p + 28p = 10p -17 + 10p = 3(6 + 3p) -17 + 10p = (6 * 3 + 3p * 3) -17 + 10p = (18 + 9p) Solving -17 + 10p = 18 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -17 + 10p + -9p = 18 + 9p + -9p Combine like terms: 10p + -9p = 1p -17 + 1p = 18 + 9p + -9p Combine like terms: 9p + -9p = 0 -17 + 1p = 18 + 0 -17 + 1p = 18 Add '17' to each side of the equation. -17 + 17 + 1p = 18 + 17 Combine like terms: -17 + 17 = 0 0 + 1p = 18 + 17 1p = 18 + 17 Combine like terms: 18 + 17 = 35 1p = 35 Divide each side by '1'. p = 35 Simplifying p = 35
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