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Simplifying -3(4p + 4) + -2(1 + -14p) + -3(1 + 5p) = 0 Reorder the terms: -3(4 + 4p) + -2(1 + -14p) + -3(1 + 5p) = 0 (4 * -3 + 4p * -3) + -2(1 + -14p) + -3(1 + 5p) = 0 (-12 + -12p) + -2(1 + -14p) + -3(1 + 5p) = 0 -12 + -12p + (1 * -2 + -14p * -2) + -3(1 + 5p) = 0 -12 + -12p + (-2 + 28p) + -3(1 + 5p) = 0 -12 + -12p + -2 + 28p + (1 * -3 + 5p * -3) = 0 -12 + -12p + -2 + 28p + (-3 + -15p) = 0 Reorder the terms: -12 + -2 + -3 + -12p + 28p + -15p = 0 Combine like terms: -12 + -2 = -14 -14 + -3 + -12p + 28p + -15p = 0 Combine like terms: -14 + -3 = -17 -17 + -12p + 28p + -15p = 0 Combine like terms: -12p + 28p = 16p -17 + 16p + -15p = 0 Combine like terms: 16p + -15p = 1p -17 + 1p = 0 Solving -17 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1p = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1p = 0 + 17 1p = 0 + 17 Combine like terms: 0 + 17 = 17 1p = 17 Divide each side by '1'. p = 17 Simplifying p = 17
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