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Simplifying 7m + 4 + -1w = 8w + -2(w + -2) Reorder the terms: 4 + 7m + -1w = 8w + -2(w + -2) Reorder the terms: 4 + 7m + -1w = 8w + -2(-2 + w) 4 + 7m + -1w = 8w + (-2 * -2 + w * -2) 4 + 7m + -1w = 8w + (4 + -2w) Reorder the terms: 4 + 7m + -1w = 4 + 8w + -2w Combine like terms: 8w + -2w = 6w 4 + 7m + -1w = 4 + 6w Add '-4' to each side of the equation. 4 + 7m + -4 + -1w = 4 + -4 + 6w Reorder the terms: 4 + -4 + 7m + -1w = 4 + -4 + 6w Combine like terms: 4 + -4 = 0 0 + 7m + -1w = 4 + -4 + 6w 7m + -1w = 4 + -4 + 6w Combine like terms: 4 + -4 = 0 7m + -1w = 0 + 6w 7m + -1w = 6w Solving 7m + -1w = 6w Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'w' to each side of the equation. 7m + -1w + w = 6w + w Combine like terms: -1w + w = 0 7m + 0 = 6w + w 7m = 6w + w Combine like terms: 6w + w = 7w 7m = 7w Divide each side by '7'. m = w Simplifying m = w
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