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Simplifying 2(m + -2) + 3(4m + -1) = 0 Reorder the terms: 2(-2 + m) + 3(4m + -1) = 0 (-2 * 2 + m * 2) + 3(4m + -1) = 0 (-4 + 2m) + 3(4m + -1) = 0 Reorder the terms: -4 + 2m + 3(-1 + 4m) = 0 -4 + 2m + (-1 * 3 + 4m * 3) = 0 -4 + 2m + (-3 + 12m) = 0 Reorder the terms: -4 + -3 + 2m + 12m = 0 Combine like terms: -4 + -3 = -7 -7 + 2m + 12m = 0 Combine like terms: 2m + 12m = 14m -7 + 14m = 0 Solving -7 + 14m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 14m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 14m = 0 + 7 14m = 0 + 7 Combine like terms: 0 + 7 = 7 14m = 7 Divide each side by '14'. m = 0.5 Simplifying m = 0.5
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