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Simplifying -3(4p + 4) + -2(5 + -14p) + -3(7 + 5p) = 0 Reorder the terms: -3(4 + 4p) + -2(5 + -14p) + -3(7 + 5p) = 0 (4 * -3 + 4p * -3) + -2(5 + -14p) + -3(7 + 5p) = 0 (-12 + -12p) + -2(5 + -14p) + -3(7 + 5p) = 0 -12 + -12p + (5 * -2 + -14p * -2) + -3(7 + 5p) = 0 -12 + -12p + (-10 + 28p) + -3(7 + 5p) = 0 -12 + -12p + -10 + 28p + (7 * -3 + 5p * -3) = 0 -12 + -12p + -10 + 28p + (-21 + -15p) = 0 Reorder the terms: -12 + -10 + -21 + -12p + 28p + -15p = 0 Combine like terms: -12 + -10 = -22 -22 + -21 + -12p + 28p + -15p = 0 Combine like terms: -22 + -21 = -43 -43 + -12p + 28p + -15p = 0 Combine like terms: -12p + 28p = 16p -43 + 16p + -15p = 0 Combine like terms: 16p + -15p = 1p -43 + 1p = 0 Solving -43 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 1p = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 1p = 0 + 43 1p = 0 + 43 Combine like terms: 0 + 43 = 43 1p = 43 Divide each side by '1'. p = 43 Simplifying p = 43
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