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Simplifying 8(4p + -7) + 7(3 + -5p) = 0 Reorder the terms: 8(-7 + 4p) + 7(3 + -5p) = 0 (-7 * 8 + 4p * 8) + 7(3 + -5p) = 0 (-56 + 32p) + 7(3 + -5p) = 0 -56 + 32p + (3 * 7 + -5p * 7) = 0 -56 + 32p + (21 + -35p) = 0 Reorder the terms: -56 + 21 + 32p + -35p = 0 Combine like terms: -56 + 21 = -35 -35 + 32p + -35p = 0 Combine like terms: 32p + -35p = -3p -35 + -3p = 0 Solving -35 + -3p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -3p = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -3p = 0 + 35 -3p = 0 + 35 Combine like terms: 0 + 35 = 35 -3p = 35 Divide each side by '-3'. p = -11.66666667 Simplifying p = -11.66666667
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