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Simplifying -3(5p + 6) + -2(4 + -14p) = 3(8 + 4p) Reorder the terms: -3(6 + 5p) + -2(4 + -14p) = 3(8 + 4p) (6 * -3 + 5p * -3) + -2(4 + -14p) = 3(8 + 4p) (-18 + -15p) + -2(4 + -14p) = 3(8 + 4p) -18 + -15p + (4 * -2 + -14p * -2) = 3(8 + 4p) -18 + -15p + (-8 + 28p) = 3(8 + 4p) Reorder the terms: -18 + -8 + -15p + 28p = 3(8 + 4p) Combine like terms: -18 + -8 = -26 -26 + -15p + 28p = 3(8 + 4p) Combine like terms: -15p + 28p = 13p -26 + 13p = 3(8 + 4p) -26 + 13p = (8 * 3 + 4p * 3) -26 + 13p = (24 + 12p) Solving -26 + 13p = 24 + 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. -26 + 13p + -12p = 24 + 12p + -12p Combine like terms: 13p + -12p = 1p -26 + 1p = 24 + 12p + -12p Combine like terms: 12p + -12p = 0 -26 + 1p = 24 + 0 -26 + 1p = 24 Add '26' to each side of the equation. -26 + 26 + 1p = 24 + 26 Combine like terms: -26 + 26 = 0 0 + 1p = 24 + 26 1p = 24 + 26 Combine like terms: 24 + 26 = 50 1p = 50 Divide each side by '1'. p = 50 Simplifying p = 50
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