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Simplifying 3(2p + -6) + -4(5p + 7) + -8p = 0 Reorder the terms: 3(-6 + 2p) + -4(5p + 7) + -8p = 0 (-6 * 3 + 2p * 3) + -4(5p + 7) + -8p = 0 (-18 + 6p) + -4(5p + 7) + -8p = 0 Reorder the terms: -18 + 6p + -4(7 + 5p) + -8p = 0 -18 + 6p + (7 * -4 + 5p * -4) + -8p = 0 -18 + 6p + (-28 + -20p) + -8p = 0 Reorder the terms: -18 + -28 + 6p + -20p + -8p = 0 Combine like terms: -18 + -28 = -46 -46 + 6p + -20p + -8p = 0 Combine like terms: 6p + -20p = -14p -46 + -14p + -8p = 0 Combine like terms: -14p + -8p = -22p -46 + -22p = 0 Solving -46 + -22p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -22p = 0 + 46 Combine like terms: -46 + 46 = 0 0 + -22p = 0 + 46 -22p = 0 + 46 Combine like terms: 0 + 46 = 46 -22p = 46 Divide each side by '-22'. p = -2.090909091 Simplifying p = -2.090909091
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