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Simplifying -3z + 8m = -12 + 2z Reorder the terms: 8m + -3z = -12 + 2z Solving 8m + -3z = -12 + 2z Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3z' to each side of the equation. 8m + -3z + 3z = -12 + 2z + 3z Combine like terms: -3z + 3z = 0 8m + 0 = -12 + 2z + 3z 8m = -12 + 2z + 3z Combine like terms: 2z + 3z = 5z 8m = -12 + 5z Divide each side by '8'. m = -1.5 + 0.625z Simplifying m = -1.5 + 0.625z
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