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Simplifying 4(-6 + 7m) = 36 + 8m (-6 * 4 + 7m * 4) = 36 + 8m (-24 + 28m) = 36 + 8m Solving -24 + 28m = 36 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -24 + 28m + -8m = 36 + 8m + -8m Combine like terms: 28m + -8m = 20m -24 + 20m = 36 + 8m + -8m Combine like terms: 8m + -8m = 0 -24 + 20m = 36 + 0 -24 + 20m = 36 Add '24' to each side of the equation. -24 + 24 + 20m = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 20m = 36 + 24 20m = 36 + 24 Combine like terms: 36 + 24 = 60 20m = 60 Divide each side by '20'. m = 3 Simplifying m = 3
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