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Simplifying -4(m + -2) + -1(3x + -2m + 3) = 0 Reorder the terms: -4(-2 + m) + -1(3x + -2m + 3) = 0 (-2 * -4 + m * -4) + -1(3x + -2m + 3) = 0 (8 + -4m) + -1(3x + -2m + 3) = 0 Reorder the terms: 8 + -4m + -1(3 + -2m + 3x) = 0 8 + -4m + (3 * -1 + -2m * -1 + 3x * -1) = 0 8 + -4m + (-3 + 2m + -3x) = 0 Reorder the terms: 8 + -3 + -4m + 2m + -3x = 0 Combine like terms: 8 + -3 = 5 5 + -4m + 2m + -3x = 0 Combine like terms: -4m + 2m = -2m 5 + -2m + -3x = 0 Solving 5 + -2m + -3x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -2m + -5 + -3x = 0 + -5 Reorder the terms: 5 + -5 + -2m + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m + -3x = 0 + -5 -2m + -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -2m + -3x = -5 Add '3x' to each side of the equation. -2m + -3x + 3x = -5 + 3x Combine like terms: -3x + 3x = 0 -2m + 0 = -5 + 3x -2m = -5 + 3x Divide each side by '-2'. m = 2.5 + -1.5x Simplifying m = 2.5 + -1.5x
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