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Simplifying -3(6p + 5) + -2(6 + -14p) + -3(1 + 3p) = 0 Reorder the terms: -3(5 + 6p) + -2(6 + -14p) + -3(1 + 3p) = 0 (5 * -3 + 6p * -3) + -2(6 + -14p) + -3(1 + 3p) = 0 (-15 + -18p) + -2(6 + -14p) + -3(1 + 3p) = 0 -15 + -18p + (6 * -2 + -14p * -2) + -3(1 + 3p) = 0 -15 + -18p + (-12 + 28p) + -3(1 + 3p) = 0 -15 + -18p + -12 + 28p + (1 * -3 + 3p * -3) = 0 -15 + -18p + -12 + 28p + (-3 + -9p) = 0 Reorder the terms: -15 + -12 + -3 + -18p + 28p + -9p = 0 Combine like terms: -15 + -12 = -27 -27 + -3 + -18p + 28p + -9p = 0 Combine like terms: -27 + -3 = -30 -30 + -18p + 28p + -9p = 0 Combine like terms: -18p + 28p = 10p -30 + 10p + -9p = 0 Combine like terms: 10p + -9p = 1p -30 + 1p = 0 Solving -30 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1p = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 1p = 0 + 30 1p = 0 + 30 Combine like terms: 0 + 30 = 30 1p = 30 Divide each side by '1'. p = 30 Simplifying p = 30
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