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Simplifying -3(4p + 5) + -2(6 + -14p) = 3(9 + 5p) Reorder the terms: -3(5 + 4p) + -2(6 + -14p) = 3(9 + 5p) (5 * -3 + 4p * -3) + -2(6 + -14p) = 3(9 + 5p) (-15 + -12p) + -2(6 + -14p) = 3(9 + 5p) -15 + -12p + (6 * -2 + -14p * -2) = 3(9 + 5p) -15 + -12p + (-12 + 28p) = 3(9 + 5p) Reorder the terms: -15 + -12 + -12p + 28p = 3(9 + 5p) Combine like terms: -15 + -12 = -27 -27 + -12p + 28p = 3(9 + 5p) Combine like terms: -12p + 28p = 16p -27 + 16p = 3(9 + 5p) -27 + 16p = (9 * 3 + 5p * 3) -27 + 16p = (27 + 15p) Solving -27 + 16p = 27 + 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. -27 + 16p + -15p = 27 + 15p + -15p Combine like terms: 16p + -15p = 1p -27 + 1p = 27 + 15p + -15p Combine like terms: 15p + -15p = 0 -27 + 1p = 27 + 0 -27 + 1p = 27 Add '27' to each side of the equation. -27 + 27 + 1p = 27 + 27 Combine like terms: -27 + 27 = 0 0 + 1p = 27 + 27 1p = 27 + 27 Combine like terms: 27 + 27 = 54 1p = 54 Divide each side by '1'. p = 54 Simplifying p = 54
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