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Simplifying 2(w + 1) + w = 7 + -4w Reorder the terms: 2(1 + w) + w = 7 + -4w (1 * 2 + w * 2) + w = 7 + -4w (2 + 2w) + w = 7 + -4w Combine like terms: 2w + w = 3w 2 + 3w = 7 + -4w Solving 2 + 3w = 7 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 2 + 3w + 4w = 7 + -4w + 4w Combine like terms: 3w + 4w = 7w 2 + 7w = 7 + -4w + 4w Combine like terms: -4w + 4w = 0 2 + 7w = 7 + 0 2 + 7w = 7 Add '-2' to each side of the equation. 2 + -2 + 7w = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 7w = 7 + -2 7w = 7 + -2 Combine like terms: 7 + -2 = 5 7w = 5 Divide each side by '7'. w = 0.7142857143 Simplifying w = 0.7142857143
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