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Simplifying 3(m + -1z) + 5(2m + -1z) = 0 (m * 3 + -1z * 3) + 5(2m + -1z) = 0 (3m + -3z) + 5(2m + -1z) = 0 3m + -3z + (2m * 5 + -1z * 5) = 0 3m + -3z + (10m + -5z) = 0 Reorder the terms: 3m + 10m + -3z + -5z = 0 Combine like terms: 3m + 10m = 13m 13m + -3z + -5z = 0 Combine like terms: -3z + -5z = -8z 13m + -8z = 0 Solving 13m + -8z = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8z' to each side of the equation. 13m + -8z + 8z = 0 + 8z Combine like terms: -8z + 8z = 0 13m + 0 = 0 + 8z 13m = 0 + 8z Remove the zero: 13m = 8z Divide each side by '13'. m = 0.6153846154z Simplifying m = 0.6153846154z
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