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Simplifying 5w + 8 + -1w = 8w + 4 + -1w Reorder the terms: 8 + 5w + -1w = 8w + 4 + -1w Combine like terms: 5w + -1w = 4w 8 + 4w = 8w + 4 + -1w Reorder the terms: 8 + 4w = 4 + 8w + -1w Combine like terms: 8w + -1w = 7w 8 + 4w = 4 + 7w Solving 8 + 4w = 4 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 8 + 4w + -7w = 4 + 7w + -7w Combine like terms: 4w + -7w = -3w 8 + -3w = 4 + 7w + -7w Combine like terms: 7w + -7w = 0 8 + -3w = 4 + 0 8 + -3w = 4 Add '-8' to each side of the equation. 8 + -8 + -3w = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -3w = 4 + -8 -3w = 4 + -8 Combine like terms: 4 + -8 = -4 -3w = -4 Divide each side by '-3'. w = 1.333333333 Simplifying w = 1.333333333
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