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Simplifying -3(4p + 2) + -2(3 + -14p) = 3(9 + 5p) Reorder the terms: -3(2 + 4p) + -2(3 + -14p) = 3(9 + 5p) (2 * -3 + 4p * -3) + -2(3 + -14p) = 3(9 + 5p) (-6 + -12p) + -2(3 + -14p) = 3(9 + 5p) -6 + -12p + (3 * -2 + -14p * -2) = 3(9 + 5p) -6 + -12p + (-6 + 28p) = 3(9 + 5p) Reorder the terms: -6 + -6 + -12p + 28p = 3(9 + 5p) Combine like terms: -6 + -6 = -12 -12 + -12p + 28p = 3(9 + 5p) Combine like terms: -12p + 28p = 16p -12 + 16p = 3(9 + 5p) -12 + 16p = (9 * 3 + 5p * 3) -12 + 16p = (27 + 15p) Solving -12 + 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. -12 + 16p + -15p = 27 + 15p + -15p Combine like terms: 16p + -15p = 1p -12 + 1p = 27 + 15p + -15p Combine like terms: 15p + -15p = 0 -12 + 1p = 27 + 0 -12 + 1p = 27 Add '12' to each side of the equation. -12 + 12 + 1p = 27 + 12 Combine like terms: -12 + 12 = 0 0 + 1p = 27 + 12 1p = 27 + 12 Combine like terms: 27 + 12 = 39 1p = 39 Divide each side by '1'. p = 39 Simplifying p = 39
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