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Simplifying 2 = 4(w + 5) + -7w Reorder the terms: 2 = 4(5 + w) + -7w 2 = (5 * 4 + w * 4) + -7w 2 = (20 + 4w) + -7w Combine like terms: 4w + -7w = -3w 2 = 20 + -3w Solving 2 = 20 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 2 + 3w = 20 + -3w + 3w Combine like terms: -3w + 3w = 0 2 + 3w = 20 + 0 2 + 3w = 20 Add '-2' to each side of the equation. 2 + -2 + 3w = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 3w = 20 + -2 3w = 20 + -2 Combine like terms: 20 + -2 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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