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Simplifying -3(4p + 3) + -2(3 + -14p) = 3(4 + 5p) Reorder the terms: -3(3 + 4p) + -2(3 + -14p) = 3(4 + 5p) (3 * -3 + 4p * -3) + -2(3 + -14p) = 3(4 + 5p) (-9 + -12p) + -2(3 + -14p) = 3(4 + 5p) -9 + -12p + (3 * -2 + -14p * -2) = 3(4 + 5p) -9 + -12p + (-6 + 28p) = 3(4 + 5p) Reorder the terms: -9 + -6 + -12p + 28p = 3(4 + 5p) Combine like terms: -9 + -6 = -15 -15 + -12p + 28p = 3(4 + 5p) Combine like terms: -12p + 28p = 16p -15 + 16p = 3(4 + 5p) -15 + 16p = (4 * 3 + 5p * 3) -15 + 16p = (12 + 15p) Solving -15 + 16p = 12 + 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. -15 + 16p + -15p = 12 + 15p + -15p Combine like terms: 16p + -15p = 1p -15 + 1p = 12 + 15p + -15p Combine like terms: 15p + -15p = 0 -15 + 1p = 12 + 0 -15 + 1p = 12 Add '15' to each side of the equation. -15 + 15 + 1p = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 1p = 12 + 15 1p = 12 + 15 Combine like terms: 12 + 15 = 27 1p = 27 Divide each side by '1'. p = 27 Simplifying p = 27
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