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Simplifying 7m + -21 = -46 + 2m Reorder the terms: -21 + 7m = -46 + 2m Solving -21 + 7m = -46 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -21 + 7m + -2m = -46 + 2m + -2m Combine like terms: 7m + -2m = 5m -21 + 5m = -46 + 2m + -2m Combine like terms: 2m + -2m = 0 -21 + 5m = -46 + 0 -21 + 5m = -46 Add '21' to each side of the equation. -21 + 21 + 5m = -46 + 21 Combine like terms: -21 + 21 = 0 0 + 5m = -46 + 21 5m = -46 + 21 Combine like terms: -46 + 21 = -25 5m = -25 Divide each side by '5'. m = -5 Simplifying m = -5
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