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Simplifying -3(7p + 5) + -2(5 + -14p) + -3(8 + 2p) = 0 Reorder the terms: -3(5 + 7p) + -2(5 + -14p) + -3(8 + 2p) = 0 (5 * -3 + 7p * -3) + -2(5 + -14p) + -3(8 + 2p) = 0 (-15 + -21p) + -2(5 + -14p) + -3(8 + 2p) = 0 -15 + -21p + (5 * -2 + -14p * -2) + -3(8 + 2p) = 0 -15 + -21p + (-10 + 28p) + -3(8 + 2p) = 0 -15 + -21p + -10 + 28p + (8 * -3 + 2p * -3) = 0 -15 + -21p + -10 + 28p + (-24 + -6p) = 0 Reorder the terms: -15 + -10 + -24 + -21p + 28p + -6p = 0 Combine like terms: -15 + -10 = -25 -25 + -24 + -21p + 28p + -6p = 0 Combine like terms: -25 + -24 = -49 -49 + -21p + 28p + -6p = 0 Combine like terms: -21p + 28p = 7p -49 + 7p + -6p = 0 Combine like terms: 7p + -6p = 1p -49 + 1p = 0 Solving -49 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 1p = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 1p = 0 + 49 1p = 0 + 49 Combine like terms: 0 + 49 = 49 1p = 49 Divide each side by '1'. p = 49 Simplifying p = 49
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