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Simplifying 5(2 + -1w) + 7w = 4w + 10 + -3w (2 * 5 + -1w * 5) + 7w = 4w + 10 + -3w (10 + -5w) + 7w = 4w + 10 + -3w Combine like terms: -5w + 7w = 2w 10 + 2w = 4w + 10 + -3w Reorder the terms: 10 + 2w = 10 + 4w + -3w Combine like terms: 4w + -3w = 1w 10 + 2w = 10 + 1w Add '-10' to each side of the equation. 10 + -10 + 2w = 10 + -10 + 1w Combine like terms: 10 + -10 = 0 0 + 2w = 10 + -10 + 1w 2w = 10 + -10 + 1w Combine like terms: 10 + -10 = 0 2w = 0 + 1w 2w = 1w Solving 2w = 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. 2w + -1w = 1w + -1w Combine like terms: 2w + -1w = 1w 1w = 1w + -1w Combine like terms: 1w + -1w = 0 1w = 0 Divide each side by '1'. w = 0 Simplifying w = 0
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