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Simplifying 6m + -8m + -23 = 12 + -9m Reorder the terms: -23 + 6m + -8m = 12 + -9m Combine like terms: 6m + -8m = -2m -23 + -2m = 12 + -9m Solving -23 + -2m = 12 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. -23 + -2m + 9m = 12 + -9m + 9m Combine like terms: -2m + 9m = 7m -23 + 7m = 12 + -9m + 9m Combine like terms: -9m + 9m = 0 -23 + 7m = 12 + 0 -23 + 7m = 12 Add '23' to each side of the equation. -23 + 23 + 7m = 12 + 23 Combine like terms: -23 + 23 = 0 0 + 7m = 12 + 23 7m = 12 + 23 Combine like terms: 12 + 23 = 35 7m = 35 Divide each side by '7'. m = 5 Simplifying m = 5
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