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Simplifying 3(10m + 3z + 12) = 0 Reorder the terms: 3(12 + 10m + 3z) = 0 (12 * 3 + 10m * 3 + 3z * 3) = 0 (36 + 30m + 9z) = 0 Solving 36 + 30m + 9z = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 30m + -36 + 9z = 0 + -36 Reorder the terms: 36 + -36 + 30m + 9z = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 30m + 9z = 0 + -36 30m + 9z = 0 + -36 Combine like terms: 0 + -36 = -36 30m + 9z = -36 Add '-9z' to each side of the equation. 30m + 9z + -9z = -36 + -9z Combine like terms: 9z + -9z = 0 30m + 0 = -36 + -9z 30m = -36 + -9z Divide each side by '30'. m = -1.2 + -0.3z Simplifying m = -1.2 + -0.3z
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