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Simplifying 3m + 4(m + z) = 0 3m + (m * 4 + z * 4) = 0 3m + (4m + 4z) = 0 Combine like terms: 3m + 4m = 7m 7m + 4z = 0 Solving 7m + 4z = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4z' to each side of the equation. 7m + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 7m + 0 = 0 + -4z 7m = 0 + -4z Remove the zero: 7m = -4z Divide each side by '7'. m = -0.5714285714z Simplifying m = -0.5714285714z
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