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Simplifying -3(4p + 6) + -2(4 + -14p) + -3(5 + 5p) = 0 Reorder the terms: -3(6 + 4p) + -2(4 + -14p) + -3(5 + 5p) = 0 (6 * -3 + 4p * -3) + -2(4 + -14p) + -3(5 + 5p) = 0 (-18 + -12p) + -2(4 + -14p) + -3(5 + 5p) = 0 -18 + -12p + (4 * -2 + -14p * -2) + -3(5 + 5p) = 0 -18 + -12p + (-8 + 28p) + -3(5 + 5p) = 0 -18 + -12p + -8 + 28p + (5 * -3 + 5p * -3) = 0 -18 + -12p + -8 + 28p + (-15 + -15p) = 0 Reorder the terms: -18 + -8 + -15 + -12p + 28p + -15p = 0 Combine like terms: -18 + -8 = -26 -26 + -15 + -12p + 28p + -15p = 0 Combine like terms: -26 + -15 = -41 -41 + -12p + 28p + -15p = 0 Combine like terms: -12p + 28p = 16p -41 + 16p + -15p = 0 Combine like terms: 16p + -15p = 1p -41 + 1p = 0 Solving -41 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 1p = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 1p = 0 + 41 1p = 0 + 41 Combine like terms: 0 + 41 = 41 1p = 41 Divide each side by '1'. p = 41 Simplifying p = 41
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