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Simplifying 5z + 4m + 7z + -3m = 0 Reorder the terms: 4m + -3m + 5z + 7z = 0 Combine like terms: 4m + -3m = 1m 1m + 5z + 7z = 0 Combine like terms: 5z + 7z = 12z 1m + 12z = 0 Solving 1m + 12z = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12z' to each side of the equation. 1m + 12z + -12z = 0 + -12z Combine like terms: 12z + -12z = 0 1m + 0 = 0 + -12z 1m = 0 + -12z Remove the zero: 1m = -12z Divide each side by '1'. m = -12z Simplifying m = -12z
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