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Simplifying -3(4p + 3) + -2(5 + -14p) = 3(8 + 5p) Reorder the terms: -3(3 + 4p) + -2(5 + -14p) = 3(8 + 5p) (3 * -3 + 4p * -3) + -2(5 + -14p) = 3(8 + 5p) (-9 + -12p) + -2(5 + -14p) = 3(8 + 5p) -9 + -12p + (5 * -2 + -14p * -2) = 3(8 + 5p) -9 + -12p + (-10 + 28p) = 3(8 + 5p) Reorder the terms: -9 + -10 + -12p + 28p = 3(8 + 5p) Combine like terms: -9 + -10 = -19 -19 + -12p + 28p = 3(8 + 5p) Combine like terms: -12p + 28p = 16p -19 + 16p = 3(8 + 5p) -19 + 16p = (8 * 3 + 5p * 3) -19 + 16p = (24 + 15p) Solving -19 + 16p = 24 + 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. -19 + 16p + -15p = 24 + 15p + -15p Combine like terms: 16p + -15p = 1p -19 + 1p = 24 + 15p + -15p Combine like terms: 15p + -15p = 0 -19 + 1p = 24 + 0 -19 + 1p = 24 Add '19' to each side of the equation. -19 + 19 + 1p = 24 + 19 Combine like terms: -19 + 19 = 0 0 + 1p = 24 + 19 1p = 24 + 19 Combine like terms: 24 + 19 = 43 1p = 43 Divide each side by '1'. p = 43 Simplifying p = 43
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