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Simplifying 2(3x + -3) + -2(2m + 4) = 0 Reorder the terms: 2(-3 + 3x) + -2(2m + 4) = 0 (-3 * 2 + 3x * 2) + -2(2m + 4) = 0 (-6 + 6x) + -2(2m + 4) = 0 Reorder the terms: -6 + 6x + -2(4 + 2m) = 0 -6 + 6x + (4 * -2 + 2m * -2) = 0 -6 + 6x + (-8 + -4m) = 0 Reorder the terms: -6 + -8 + -4m + 6x = 0 Combine like terms: -6 + -8 = -14 -14 + -4m + 6x = 0 Solving -14 + -4m + 6x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -4m + 14 + 6x = 0 + 14 Reorder the terms: -14 + 14 + -4m + 6x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -4m + 6x = 0 + 14 -4m + 6x = 0 + 14 Combine like terms: 0 + 14 = 14 -4m + 6x = 14 Add '-6x' to each side of the equation. -4m + 6x + -6x = 14 + -6x Combine like terms: 6x + -6x = 0 -4m + 0 = 14 + -6x -4m = 14 + -6x Divide each side by '-4'. m = -3.5 + 1.5x Simplifying m = -3.5 + 1.5x
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