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Simplifying -3(5p + 3) + -2(1 + -14p) = 3(9 + 4p) Reorder the terms: -3(3 + 5p) + -2(1 + -14p) = 3(9 + 4p) (3 * -3 + 5p * -3) + -2(1 + -14p) = 3(9 + 4p) (-9 + -15p) + -2(1 + -14p) = 3(9 + 4p) -9 + -15p + (1 * -2 + -14p * -2) = 3(9 + 4p) -9 + -15p + (-2 + 28p) = 3(9 + 4p) Reorder the terms: -9 + -2 + -15p + 28p = 3(9 + 4p) Combine like terms: -9 + -2 = -11 -11 + -15p + 28p = 3(9 + 4p) Combine like terms: -15p + 28p = 13p -11 + 13p = 3(9 + 4p) -11 + 13p = (9 * 3 + 4p * 3) -11 + 13p = (27 + 12p) Solving -11 + 13p = 27 + 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. -11 + 13p + -12p = 27 + 12p + -12p Combine like terms: 13p + -12p = 1p -11 + 1p = 27 + 12p + -12p Combine like terms: 12p + -12p = 0 -11 + 1p = 27 + 0 -11 + 1p = 27 Add '11' to each side of the equation. -11 + 11 + 1p = 27 + 11 Combine like terms: -11 + 11 = 0 0 + 1p = 27 + 11 1p = 27 + 11 Combine like terms: 27 + 11 = 38 1p = 38 Divide each side by '1'. p = 38 Simplifying p = 38
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