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Simplifying -5(1 + -2m) + -4m = 23 + 2m (1 * -5 + -2m * -5) + -4m = 23 + 2m (-5 + 10m) + -4m = 23 + 2m Combine like terms: 10m + -4m = 6m -5 + 6m = 23 + 2m Solving -5 + 6m = 23 + 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. -5 + 6m + -2m = 23 + 2m + -2m Combine like terms: 6m + -2m = 4m -5 + 4m = 23 + 2m + -2m Combine like terms: 2m + -2m = 0 -5 + 4m = 23 + 0 -5 + 4m = 23 Add '5' to each side of the equation. -5 + 5 + 4m = 23 + 5 Combine like terms: -5 + 5 = 0 0 + 4m = 23 + 5 4m = 23 + 5 Combine like terms: 23 + 5 = 28 4m = 28 Divide each side by '4'. m = 7 Simplifying m = 7
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