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Simplifying 6m + -6 = 10 + -2(2 + -1m) Reorder the terms: -6 + 6m = 10 + -2(2 + -1m) -6 + 6m = 10 + (2 * -2 + -1m * -2) -6 + 6m = 10 + (-4 + 2m) Combine like terms: 10 + -4 = 6 -6 + 6m = 6 + 2m Solving -6 + 6m = 6 + 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. -6 + 6m + -2m = 6 + 2m + -2m Combine like terms: 6m + -2m = 4m -6 + 4m = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 -6 + 4m = 6 + 0 -6 + 4m = 6 Add '6' to each side of the equation. -6 + 6 + 4m = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4m = 6 + 6 4m = 6 + 6 Combine like terms: 6 + 6 = 12 4m = 12 Divide each side by '4'. m = 3 Simplifying m = 3
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