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Simplifying -3(6p + 3) + -2(1 + -14p) = 3(4 + 3p) Reorder the terms: -3(3 + 6p) + -2(1 + -14p) = 3(4 + 3p) (3 * -3 + 6p * -3) + -2(1 + -14p) = 3(4 + 3p) (-9 + -18p) + -2(1 + -14p) = 3(4 + 3p) -9 + -18p + (1 * -2 + -14p * -2) = 3(4 + 3p) -9 + -18p + (-2 + 28p) = 3(4 + 3p) Reorder the terms: -9 + -2 + -18p + 28p = 3(4 + 3p) Combine like terms: -9 + -2 = -11 -11 + -18p + 28p = 3(4 + 3p) Combine like terms: -18p + 28p = 10p -11 + 10p = 3(4 + 3p) -11 + 10p = (4 * 3 + 3p * 3) -11 + 10p = (12 + 9p) Solving -11 + 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. -11 + 10p + -9p = 12 + 9p + -9p Combine like terms: 10p + -9p = 1p -11 + 1p = 12 + 9p + -9p Combine like terms: 9p + -9p = 0 -11 + 1p = 12 + 0 -11 + 1p = 12 Add '11' to each side of the equation. -11 + 11 + 1p = 12 + 11 Combine like terms: -11 + 11 = 0 0 + 1p = 12 + 11 1p = 12 + 11 Combine like terms: 12 + 11 = 23 1p = 23 Divide each side by '1'. p = 23 Simplifying p = 23
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