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Simplifying 3x + -4m = 2(3x + -4m) Reorder the terms: -4m + 3x = 2(3x + -4m) Reorder the terms: -4m + 3x = 2(-4m + 3x) -4m + 3x = (-4m * 2 + 3x * 2) -4m + 3x = (-8m + 6x) Solving -4m + 3x = -8m + 6x 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. -4m + 8m + 3x = -8m + 8m + 6x Combine like terms: -4m + 8m = 4m 4m + 3x = -8m + 8m + 6x Combine like terms: -8m + 8m = 0 4m + 3x = 0 + 6x 4m + 3x = 6x Add '-3x' to each side of the equation. 4m + 3x + -3x = 6x + -3x Combine like terms: 3x + -3x = 0 4m + 0 = 6x + -3x 4m = 6x + -3x Combine like terms: 6x + -3x = 3x 4m = 3x Divide each side by '4'. m = 0.75x Simplifying m = 0.75x
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