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Simplifying 6w + 7m = 4w + 5m Reorder the terms: 7m + 6w = 4w + 5m Reorder the terms: 7m + 6w = 5m + 4w Solving 7m + 6w = 5m + 4w Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 7m + -5m + 6w = 5m + -5m + 4w Combine like terms: 7m + -5m = 2m 2m + 6w = 5m + -5m + 4w Combine like terms: 5m + -5m = 0 2m + 6w = 0 + 4w 2m + 6w = 4w Add '-6w' to each side of the equation. 2m + 6w + -6w = 4w + -6w Combine like terms: 6w + -6w = 0 2m + 0 = 4w + -6w 2m = 4w + -6w Combine like terms: 4w + -6w = -2w 2m = -2w Divide each side by '2'. m = -1w Simplifying m = -1w
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