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Simplifying -3(5p + 3) + -2(5 + -14p) = 3(7 + 4p) Reorder the terms: -3(3 + 5p) + -2(5 + -14p) = 3(7 + 4p) (3 * -3 + 5p * -3) + -2(5 + -14p) = 3(7 + 4p) (-9 + -15p) + -2(5 + -14p) = 3(7 + 4p) -9 + -15p + (5 * -2 + -14p * -2) = 3(7 + 4p) -9 + -15p + (-10 + 28p) = 3(7 + 4p) Reorder the terms: -9 + -10 + -15p + 28p = 3(7 + 4p) Combine like terms: -9 + -10 = -19 -19 + -15p + 28p = 3(7 + 4p) Combine like terms: -15p + 28p = 13p -19 + 13p = 3(7 + 4p) -19 + 13p = (7 * 3 + 4p * 3) -19 + 13p = (21 + 12p) Solving -19 + 13p = 21 + 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. -19 + 13p + -12p = 21 + 12p + -12p Combine like terms: 13p + -12p = 1p -19 + 1p = 21 + 12p + -12p Combine like terms: 12p + -12p = 0 -19 + 1p = 21 + 0 -19 + 1p = 21 Add '19' to each side of the equation. -19 + 19 + 1p = 21 + 19 Combine like terms: -19 + 19 = 0 0 + 1p = 21 + 19 1p = 21 + 19 Combine like terms: 21 + 19 = 40 1p = 40 Divide each side by '1'. p = 40 Simplifying p = 40
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