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Simplifying -3(6p + 3) + -2(5 + -14p) = 3(4 + 3p) Reorder the terms: -3(3 + 6p) + -2(5 + -14p) = 3(4 + 3p) (3 * -3 + 6p * -3) + -2(5 + -14p) = 3(4 + 3p) (-9 + -18p) + -2(5 + -14p) = 3(4 + 3p) -9 + -18p + (5 * -2 + -14p * -2) = 3(4 + 3p) -9 + -18p + (-10 + 28p) = 3(4 + 3p) Reorder the terms: -9 + -10 + -18p + 28p = 3(4 + 3p) Combine like terms: -9 + -10 = -19 -19 + -18p + 28p = 3(4 + 3p) Combine like terms: -18p + 28p = 10p -19 + 10p = 3(4 + 3p) -19 + 10p = (4 * 3 + 3p * 3) -19 + 10p = (12 + 9p) Solving -19 + 10p = 12 + 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. -19 + 10p + -9p = 12 + 9p + -9p Combine like terms: 10p + -9p = 1p -19 + 1p = 12 + 9p + -9p Combine like terms: 9p + -9p = 0 -19 + 1p = 12 + 0 -19 + 1p = 12 Add '19' to each side of the equation. -19 + 19 + 1p = 12 + 19 Combine like terms: -19 + 19 = 0 0 + 1p = 12 + 19 1p = 12 + 19 Combine like terms: 12 + 19 = 31 1p = 31 Divide each side by '1'. p = 31 Simplifying p = 31
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