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Simplifying 3m + 5 + -9m + -12 = -31 Reorder the terms: 5 + -12 + 3m + -9m = -31 Combine like terms: 5 + -12 = -7 -7 + 3m + -9m = -31 Combine like terms: 3m + -9m = -6m -7 + -6m = -31 Solving -7 + -6m = -31 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -6m = -31 + 7 Combine like terms: -7 + 7 = 0 0 + -6m = -31 + 7 -6m = -31 + 7 Combine like terms: -31 + 7 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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