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Simplifying -3(m + -4cd) + -5(8m + cd) = 0 Reorder the terms: -3(-4cd + m) + -5(8m + cd) = 0 (-4cd * -3 + m * -3) + -5(8m + cd) = 0 (12cd + -3m) + -5(8m + cd) = 0 Reorder the terms: 12cd + -3m + -5(cd + 8m) = 0 12cd + -3m + (cd * -5 + 8m * -5) = 0 12cd + -3m + (-5cd + -40m) = 0 Reorder the terms: 12cd + -5cd + -3m + -40m = 0 Combine like terms: 12cd + -5cd = 7cd 7cd + -3m + -40m = 0 Combine like terms: -3m + -40m = -43m 7cd + -43m = 0 Solving 7cd + -43m = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '43m' to each side of the equation. 7cd + -43m + 43m = 0 + 43m Combine like terms: -43m + 43m = 0 7cd + 0 = 0 + 43m 7cd = 0 + 43m Remove the zero: 7cd = 43m Divide each side by '7d'. c = 6.142857143d-1m Simplifying c = 6.142857143d-1m
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