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Simplifying 4(m + -2(2m + 3)) = 0 Reorder the terms: 4(m + -2(3 + 2m)) = 0 4(m + (3 * -2 + 2m * -2)) = 0 4(m + (-6 + -4m)) = 0 Reorder the terms: 4(-6 + m + -4m) = 0 Combine like terms: m + -4m = -3m 4(-6 + -3m) = 0 (-6 * 4 + -3m * 4) = 0 (-24 + -12m) = 0 Solving -24 + -12m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -12m = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -12m = 0 + 24 -12m = 0 + 24 Combine like terms: 0 + 24 = 24 -12m = 24 Divide each side by '-12'. m = -2 Simplifying m = -2
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