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Simplifying -3(4p + 5) + -2(3 + -14p) + -3(9 + 5p) = 0 Reorder the terms: -3(5 + 4p) + -2(3 + -14p) + -3(9 + 5p) = 0 (5 * -3 + 4p * -3) + -2(3 + -14p) + -3(9 + 5p) = 0 (-15 + -12p) + -2(3 + -14p) + -3(9 + 5p) = 0 -15 + -12p + (3 * -2 + -14p * -2) + -3(9 + 5p) = 0 -15 + -12p + (-6 + 28p) + -3(9 + 5p) = 0 -15 + -12p + -6 + 28p + (9 * -3 + 5p * -3) = 0 -15 + -12p + -6 + 28p + (-27 + -15p) = 0 Reorder the terms: -15 + -6 + -27 + -12p + 28p + -15p = 0 Combine like terms: -15 + -6 = -21 -21 + -27 + -12p + 28p + -15p = 0 Combine like terms: -21 + -27 = -48 -48 + -12p + 28p + -15p = 0 Combine like terms: -12p + 28p = 16p -48 + 16p + -15p = 0 Combine like terms: 16p + -15p = 1p -48 + 1p = 0 Solving -48 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 1p = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 1p = 0 + 48 1p = 0 + 48 Combine like terms: 0 + 48 = 48 1p = 48 Divide each side by '1'. p = 48 Simplifying p = 48
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