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Simplifying 4(4m + -6) = 30 + -2m Reorder the terms: 4(-6 + 4m) = 30 + -2m (-6 * 4 + 4m * 4) = 30 + -2m (-24 + 16m) = 30 + -2m Solving -24 + 16m = 30 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -24 + 16m + 2m = 30 + -2m + 2m Combine like terms: 16m + 2m = 18m -24 + 18m = 30 + -2m + 2m Combine like terms: -2m + 2m = 0 -24 + 18m = 30 + 0 -24 + 18m = 30 Add '24' to each side of the equation. -24 + 24 + 18m = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 18m = 30 + 24 18m = 30 + 24 Combine like terms: 30 + 24 = 54 18m = 54 Divide each side by '18'. m = 3 Simplifying m = 3
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