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Simplifying -3(5p + 6) + -2(5 + -14p) = 3(9 + 4p) Reorder the terms: -3(6 + 5p) + -2(5 + -14p) = 3(9 + 4p) (6 * -3 + 5p * -3) + -2(5 + -14p) = 3(9 + 4p) (-18 + -15p) + -2(5 + -14p) = 3(9 + 4p) -18 + -15p + (5 * -2 + -14p * -2) = 3(9 + 4p) -18 + -15p + (-10 + 28p) = 3(9 + 4p) Reorder the terms: -18 + -10 + -15p + 28p = 3(9 + 4p) Combine like terms: -18 + -10 = -28 -28 + -15p + 28p = 3(9 + 4p) Combine like terms: -15p + 28p = 13p -28 + 13p = 3(9 + 4p) -28 + 13p = (9 * 3 + 4p * 3) -28 + 13p = (27 + 12p) Solving -28 + 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. -28 + 13p + -12p = 27 + 12p + -12p Combine like terms: 13p + -12p = 1p -28 + 1p = 27 + 12p + -12p Combine like terms: 12p + -12p = 0 -28 + 1p = 27 + 0 -28 + 1p = 27 Add '28' to each side of the equation. -28 + 28 + 1p = 27 + 28 Combine like terms: -28 + 28 = 0 0 + 1p = 27 + 28 1p = 27 + 28 Combine like terms: 27 + 28 = 55 1p = 55 Divide each side by '1'. p = 55 Simplifying p = 55
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