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Simplifying -3(5p + 6) + -2(6 + -14p) = 3(3 + 4p) Reorder the terms: -3(6 + 5p) + -2(6 + -14p) = 3(3 + 4p) (6 * -3 + 5p * -3) + -2(6 + -14p) = 3(3 + 4p) (-18 + -15p) + -2(6 + -14p) = 3(3 + 4p) -18 + -15p + (6 * -2 + -14p * -2) = 3(3 + 4p) -18 + -15p + (-12 + 28p) = 3(3 + 4p) Reorder the terms: -18 + -12 + -15p + 28p = 3(3 + 4p) Combine like terms: -18 + -12 = -30 -30 + -15p + 28p = 3(3 + 4p) Combine like terms: -15p + 28p = 13p -30 + 13p = 3(3 + 4p) -30 + 13p = (3 * 3 + 4p * 3) -30 + 13p = (9 + 12p) Solving -30 + 13p = 9 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -30 + 13p + -12p = 9 + 12p + -12p Combine like terms: 13p + -12p = 1p -30 + 1p = 9 + 12p + -12p Combine like terms: 12p + -12p = 0 -30 + 1p = 9 + 0 -30 + 1p = 9 Add '30' to each side of the equation. -30 + 30 + 1p = 9 + 30 Combine like terms: -30 + 30 = 0 0 + 1p = 9 + 30 1p = 9 + 30 Combine like terms: 9 + 30 = 39 1p = 39 Divide each side by '1'. p = 39 Simplifying p = 39
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