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Simplifying 4(-6 + -8m) = -7(5m + -4) + -4 (-6 * 4 + -8m * 4) = -7(5m + -4) + -4 (-24 + -32m) = -7(5m + -4) + -4 Reorder the terms: -24 + -32m = -7(-4 + 5m) + -4 -24 + -32m = (-4 * -7 + 5m * -7) + -4 -24 + -32m = (28 + -35m) + -4 Reorder the terms: -24 + -32m = 28 + -4 + -35m Combine like terms: 28 + -4 = 24 -24 + -32m = 24 + -35m Solving -24 + -32m = 24 + -35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '35m' to each side of the equation. -24 + -32m + 35m = 24 + -35m + 35m Combine like terms: -32m + 35m = 3m -24 + 3m = 24 + -35m + 35m Combine like terms: -35m + 35m = 0 -24 + 3m = 24 + 0 -24 + 3m = 24 Add '24' to each side of the equation. -24 + 24 + 3m = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 3m = 24 + 24 3m = 24 + 24 Combine like terms: 24 + 24 = 48 3m = 48 Divide each side by '3'. m = 16 Simplifying m = 16
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