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Simplifying -3(4p + 3) + -2(2 + -14p) = 3(2 + 5p) Reorder the terms: -3(3 + 4p) + -2(2 + -14p) = 3(2 + 5p) (3 * -3 + 4p * -3) + -2(2 + -14p) = 3(2 + 5p) (-9 + -12p) + -2(2 + -14p) = 3(2 + 5p) -9 + -12p + (2 * -2 + -14p * -2) = 3(2 + 5p) -9 + -12p + (-4 + 28p) = 3(2 + 5p) Reorder the terms: -9 + -4 + -12p + 28p = 3(2 + 5p) Combine like terms: -9 + -4 = -13 -13 + -12p + 28p = 3(2 + 5p) Combine like terms: -12p + 28p = 16p -13 + 16p = 3(2 + 5p) -13 + 16p = (2 * 3 + 5p * 3) -13 + 16p = (6 + 15p) Solving -13 + 16p = 6 + 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. -13 + 16p + -15p = 6 + 15p + -15p Combine like terms: 16p + -15p = 1p -13 + 1p = 6 + 15p + -15p Combine like terms: 15p + -15p = 0 -13 + 1p = 6 + 0 -13 + 1p = 6 Add '13' to each side of the equation. -13 + 13 + 1p = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 1p = 6 + 13 1p = 6 + 13 Combine like terms: 6 + 13 = 19 1p = 19 Divide each side by '1'. p = 19 Simplifying p = 19
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