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Simplifying -3(3p + -4) + -2(2 + -14p) = 3(9 + 6p) Reorder the terms: -3(-4 + 3p) + -2(2 + -14p) = 3(9 + 6p) (-4 * -3 + 3p * -3) + -2(2 + -14p) = 3(9 + 6p) (12 + -9p) + -2(2 + -14p) = 3(9 + 6p) 12 + -9p + (2 * -2 + -14p * -2) = 3(9 + 6p) 12 + -9p + (-4 + 28p) = 3(9 + 6p) Reorder the terms: 12 + -4 + -9p + 28p = 3(9 + 6p) Combine like terms: 12 + -4 = 8 8 + -9p + 28p = 3(9 + 6p) Combine like terms: -9p + 28p = 19p 8 + 19p = 3(9 + 6p) 8 + 19p = (9 * 3 + 6p * 3) 8 + 19p = (27 + 18p) Solving 8 + 19p = 27 + 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. 8 + 19p + -18p = 27 + 18p + -18p Combine like terms: 19p + -18p = 1p 8 + 1p = 27 + 18p + -18p Combine like terms: 18p + -18p = 0 8 + 1p = 27 + 0 8 + 1p = 27 Add '-8' to each side of the equation. 8 + -8 + 1p = 27 + -8 Combine like terms: 8 + -8 = 0 0 + 1p = 27 + -8 1p = 27 + -8 Combine like terms: 27 + -8 = 19 1p = 19 Divide each side by '1'. p = 19 Simplifying p = 19
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