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Simplifying -3(4p + 6) + -2(1 + -14p) = 3(3 + 5p) Reorder the terms: -3(6 + 4p) + -2(1 + -14p) = 3(3 + 5p) (6 * -3 + 4p * -3) + -2(1 + -14p) = 3(3 + 5p) (-18 + -12p) + -2(1 + -14p) = 3(3 + 5p) -18 + -12p + (1 * -2 + -14p * -2) = 3(3 + 5p) -18 + -12p + (-2 + 28p) = 3(3 + 5p) Reorder the terms: -18 + -2 + -12p + 28p = 3(3 + 5p) Combine like terms: -18 + -2 = -20 -20 + -12p + 28p = 3(3 + 5p) Combine like terms: -12p + 28p = 16p -20 + 16p = 3(3 + 5p) -20 + 16p = (3 * 3 + 5p * 3) -20 + 16p = (9 + 15p) Solving -20 + 16p = 9 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -20 + 16p + -15p = 9 + 15p + -15p Combine like terms: 16p + -15p = 1p -20 + 1p = 9 + 15p + -15p Combine like terms: 15p + -15p = 0 -20 + 1p = 9 + 0 -20 + 1p = 9 Add '20' to each side of the equation. -20 + 20 + 1p = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 1p = 9 + 20 1p = 9 + 20 Combine like terms: 9 + 20 = 29 1p = 29 Divide each side by '1'. p = 29 Simplifying p = 29
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