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Simplifying 2(3x + -4m) + 2(2x + -3m) = 6 Reorder the terms: 2(-4m + 3x) + 2(2x + -3m) = 6 (-4m * 2 + 3x * 2) + 2(2x + -3m) = 6 (-8m + 6x) + 2(2x + -3m) = 6 Reorder the terms: -8m + 6x + 2(-3m + 2x) = 6 -8m + 6x + (-3m * 2 + 2x * 2) = 6 -8m + 6x + (-6m + 4x) = 6 Reorder the terms: -8m + -6m + 6x + 4x = 6 Combine like terms: -8m + -6m = -14m -14m + 6x + 4x = 6 Combine like terms: 6x + 4x = 10x -14m + 10x = 6 Solving -14m + 10x = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10x' to each side of the equation. -14m + 10x + -10x = 6 + -10x Combine like terms: 10x + -10x = 0 -14m + 0 = 6 + -10x -14m = 6 + -10x Divide each side by '-14'. m = -0.4285714286 + 0.7142857143x Simplifying m = -0.4285714286 + 0.7142857143x
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