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Simplifying 2m + -6 = 7m + 24 Reorder the terms: -6 + 2m = 7m + 24 Reorder the terms: -6 + 2m = 24 + 7m Solving -6 + 2m = 24 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -6 + 2m + -7m = 24 + 7m + -7m Combine like terms: 2m + -7m = -5m -6 + -5m = 24 + 7m + -7m Combine like terms: 7m + -7m = 0 -6 + -5m = 24 + 0 -6 + -5m = 24 Add '6' to each side of the equation. -6 + 6 + -5m = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -5m = 24 + 6 -5m = 24 + 6 Combine like terms: 24 + 6 = 30 -5m = 30 Divide each side by '-5'. m = -6 Simplifying m = -6
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