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Simplifying -3(6p + 4) + -2(4 + -14p) = 3(9 + 3p) Reorder the terms: -3(4 + 6p) + -2(4 + -14p) = 3(9 + 3p) (4 * -3 + 6p * -3) + -2(4 + -14p) = 3(9 + 3p) (-12 + -18p) + -2(4 + -14p) = 3(9 + 3p) -12 + -18p + (4 * -2 + -14p * -2) = 3(9 + 3p) -12 + -18p + (-8 + 28p) = 3(9 + 3p) Reorder the terms: -12 + -8 + -18p + 28p = 3(9 + 3p) Combine like terms: -12 + -8 = -20 -20 + -18p + 28p = 3(9 + 3p) Combine like terms: -18p + 28p = 10p -20 + 10p = 3(9 + 3p) -20 + 10p = (9 * 3 + 3p * 3) -20 + 10p = (27 + 9p) Solving -20 + 10p = 27 + 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. -20 + 10p + -9p = 27 + 9p + -9p Combine like terms: 10p + -9p = 1p -20 + 1p = 27 + 9p + -9p Combine like terms: 9p + -9p = 0 -20 + 1p = 27 + 0 -20 + 1p = 27 Add '20' to each side of the equation. -20 + 20 + 1p = 27 + 20 Combine like terms: -20 + 20 = 0 0 + 1p = 27 + 20 1p = 27 + 20 Combine like terms: 27 + 20 = 47 1p = 47 Divide each side by '1'. p = 47 Simplifying p = 47
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