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Simplifying 2(3m + -8) + -4(m + -6) = 0 Reorder the terms: 2(-8 + 3m) + -4(m + -6) = 0 (-8 * 2 + 3m * 2) + -4(m + -6) = 0 (-16 + 6m) + -4(m + -6) = 0 Reorder the terms: -16 + 6m + -4(-6 + m) = 0 -16 + 6m + (-6 * -4 + m * -4) = 0 -16 + 6m + (24 + -4m) = 0 Reorder the terms: -16 + 24 + 6m + -4m = 0 Combine like terms: -16 + 24 = 8 8 + 6m + -4m = 0 Combine like terms: 6m + -4m = 2m 8 + 2m = 0 Solving 8 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2m = 0 + -8 2m = 0 + -8 Combine like terms: 0 + -8 = -8 2m = -8 Divide each side by '2'. m = -4 Simplifying m = -4
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