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Simplifying -6(5m + 4) + -1m = -117 Reorder the terms: -6(4 + 5m) + -1m = -117 (4 * -6 + 5m * -6) + -1m = -117 (-24 + -30m) + -1m = -117 Combine like terms: -30m + -1m = -31m -24 + -31m = -117 Solving -24 + -31m = -117 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -31m = -117 + 24 Combine like terms: -24 + 24 = 0 0 + -31m = -117 + 24 -31m = -117 + 24 Combine like terms: -117 + 24 = -93 -31m = -93 Divide each side by '-31'. m = 3 Simplifying m = 3
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