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Simplifying 3m + 8 + -1w = 4w + -2(w + -4) Reorder the terms: 8 + 3m + -1w = 4w + -2(w + -4) Reorder the terms: 8 + 3m + -1w = 4w + -2(-4 + w) 8 + 3m + -1w = 4w + (-4 * -2 + w * -2) 8 + 3m + -1w = 4w + (8 + -2w) Reorder the terms: 8 + 3m + -1w = 8 + 4w + -2w Combine like terms: 4w + -2w = 2w 8 + 3m + -1w = 8 + 2w Add '-8' to each side of the equation. 8 + 3m + -8 + -1w = 8 + -8 + 2w Reorder the terms: 8 + -8 + 3m + -1w = 8 + -8 + 2w Combine like terms: 8 + -8 = 0 0 + 3m + -1w = 8 + -8 + 2w 3m + -1w = 8 + -8 + 2w Combine like terms: 8 + -8 = 0 3m + -1w = 0 + 2w 3m + -1w = 2w Solving 3m + -1w = 2w 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. 3m + -1w + w = 2w + w Combine like terms: -1w + w = 0 3m + 0 = 2w + w 3m = 2w + w Combine like terms: 2w + w = 3w 3m = 3w Divide each side by '3'. m = w Simplifying m = w
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