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Simplifying -6 + -3m = -2(4m + -2) Reorder the terms: -6 + -3m = -2(-2 + 4m) -6 + -3m = (-2 * -2 + 4m * -2) -6 + -3m = (4 + -8m) Solving -6 + -3m = 4 + -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. -6 + -3m + 8m = 4 + -8m + 8m Combine like terms: -3m + 8m = 5m -6 + 5m = 4 + -8m + 8m Combine like terms: -8m + 8m = 0 -6 + 5m = 4 + 0 -6 + 5m = 4 Add '6' to each side of the equation. -6 + 6 + 5m = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 5m = 4 + 6 5m = 4 + 6 Combine like terms: 4 + 6 = 10 5m = 10 Divide each side by '5'. m = 2 Simplifying m = 2
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