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Simplifying 6(-4m + 5) = -114 Reorder the terms: 6(5 + -4m) = -114 (5 * 6 + -4m * 6) = -114 (30 + -24m) = -114 Solving 30 + -24m = -114 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -24m = -114 + -30 Combine like terms: 30 + -30 = 0 0 + -24m = -114 + -30 -24m = -114 + -30 Combine like terms: -114 + -30 = -144 -24m = -144 Divide each side by '-24'. m = 6 Simplifying m = 6
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