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Simplifying 13m + 3z + 2(z + 1) = 12 Reorder the terms: 13m + 3z + 2(1 + z) = 12 13m + 3z + (1 * 2 + z * 2) = 12 13m + 3z + (2 + 2z) = 12 Reorder the terms: 2 + 13m + 3z + 2z = 12 Combine like terms: 3z + 2z = 5z 2 + 13m + 5z = 12 Solving 2 + 13m + 5z = 12 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 13m + -2 + 5z = 12 + -2 Reorder the terms: 2 + -2 + 13m + 5z = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 13m + 5z = 12 + -2 13m + 5z = 12 + -2 Combine like terms: 12 + -2 = 10 13m + 5z = 10 Add '-5z' to each side of the equation. 13m + 5z + -5z = 10 + -5z Combine like terms: 5z + -5z = 0 13m + 0 = 10 + -5z 13m = 10 + -5z Divide each side by '13'. m = 0.7692307692 + -0.3846153846z Simplifying m = 0.7692307692 + -0.3846153846z
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