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Simplifying 5w = (4w + 7) + -1(3w + 1) Reorder the terms: 5w = (7 + 4w) + -1(3w + 1) Remove parenthesis around (7 + 4w) 5w = 7 + 4w + -1(3w + 1) Reorder the terms: 5w = 7 + 4w + -1(1 + 3w) 5w = 7 + 4w + (1 * -1 + 3w * -1) 5w = 7 + 4w + (-1 + -3w) Reorder the terms: 5w = 7 + -1 + 4w + -3w Combine like terms: 7 + -1 = 6 5w = 6 + 4w + -3w Combine like terms: 4w + -3w = 1w 5w = 6 + 1w Solving 5w = 6 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 5w + -1w = 6 + 1w + -1w Combine like terms: 5w + -1w = 4w 4w = 6 + 1w + -1w Combine like terms: 1w + -1w = 0 4w = 6 + 0 4w = 6 Divide each side by '4'. w = 1.5 Simplifying w = 1.5
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