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Simplifying 7 + 5m = w + -1m Reorder the terms: 7 + 5m = -1m + w Solving 7 + 5m = -1m + w Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 7 + 5m + m = -1m + m + w Combine like terms: 5m + m = 6m 7 + 6m = -1m + m + w Combine like terms: -1m + m = 0 7 + 6m = 0 + w 7 + 6m = w Add '-7' to each side of the equation. 7 + -7 + 6m = -7 + w Combine like terms: 7 + -7 = 0 0 + 6m = -7 + w 6m = -7 + w Divide each side by '6'. m = -1.166666667 + 0.1666666667w Simplifying m = -1.166666667 + 0.1666666667w
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