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