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Simplifying -3(3p + 2) + -2(4 + -14p) = 3(3 + 6p) Reorder the terms: -3(2 + 3p) + -2(4 + -14p) = 3(3 + 6p) (2 * -3 + 3p * -3) + -2(4 + -14p) = 3(3 + 6p) (-6 + -9p) + -2(4 + -14p) = 3(3 + 6p) -6 + -9p + (4 * -2 + -14p * -2) = 3(3 + 6p) -6 + -9p + (-8 + 28p) = 3(3 + 6p) Reorder the terms: -6 + -8 + -9p + 28p = 3(3 + 6p) Combine like terms: -6 + -8 = -14 -14 + -9p + 28p = 3(3 + 6p) Combine like terms: -9p + 28p = 19p -14 + 19p = 3(3 + 6p) -14 + 19p = (3 * 3 + 6p * 3) -14 + 19p = (9 + 18p) Solving -14 + 19p = 9 + 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. -14 + 19p + -18p = 9 + 18p + -18p Combine like terms: 19p + -18p = 1p -14 + 1p = 9 + 18p + -18p Combine like terms: 18p + -18p = 0 -14 + 1p = 9 + 0 -14 + 1p = 9 Add '14' to each side of the equation. -14 + 14 + 1p = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 1p = 9 + 14 1p = 9 + 14 Combine like terms: 9 + 14 = 23 1p = 23 Divide each side by '1'. p = 23 Simplifying p = 23
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