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Simplifying -3(6p + 5) + -2(1 + -14p) = 3(1 + 3p) Reorder the terms: -3(5 + 6p) + -2(1 + -14p) = 3(1 + 3p) (5 * -3 + 6p * -3) + -2(1 + -14p) = 3(1 + 3p) (-15 + -18p) + -2(1 + -14p) = 3(1 + 3p) -15 + -18p + (1 * -2 + -14p * -2) = 3(1 + 3p) -15 + -18p + (-2 + 28p) = 3(1 + 3p) Reorder the terms: -15 + -2 + -18p + 28p = 3(1 + 3p) Combine like terms: -15 + -2 = -17 -17 + -18p + 28p = 3(1 + 3p) Combine like terms: -18p + 28p = 10p -17 + 10p = 3(1 + 3p) -17 + 10p = (1 * 3 + 3p * 3) -17 + 10p = (3 + 9p) Solving -17 + 10p = 3 + 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 = 3 + 9p + -9p Combine like terms: 10p + -9p = 1p -17 + 1p = 3 + 9p + -9p Combine like terms: 9p + -9p = 0 -17 + 1p = 3 + 0 -17 + 1p = 3 Add '17' to each side of the equation. -17 + 17 + 1p = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 1p = 3 + 17 1p = 3 + 17 Combine like terms: 3 + 17 = 20 1p = 20 Divide each side by '1'. p = 20 Simplifying p = 20
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