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Simplifying 3(10m + 3z + 12) = 154 Reorder the terms: 3(12 + 10m + 3z) = 154 (12 * 3 + 10m * 3 + 3z * 3) = 154 (36 + 30m + 9z) = 154 Solving 36 + 30m + 9z = 154 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 = 154 + -36 Reorder the terms: 36 + -36 + 30m + 9z = 154 + -36 Combine like terms: 36 + -36 = 0 0 + 30m + 9z = 154 + -36 30m + 9z = 154 + -36 Combine like terms: 154 + -36 = 118 30m + 9z = 118 Add '-9z' to each side of the equation. 30m + 9z + -9z = 118 + -9z Combine like terms: 9z + -9z = 0 30m + 0 = 118 + -9z 30m = 118 + -9z Divide each side by '30'. m = 3.933333333 + -0.3z Simplifying m = 3.933333333 + -0.3z
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