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Simplifying 4 = 4(w + 5) + -6w Reorder the terms: 4 = 4(5 + w) + -6w 4 = (5 * 4 + w * 4) + -6w 4 = (20 + 4w) + -6w Combine like terms: 4w + -6w = -2w 4 = 20 + -2w Solving 4 = 20 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 4 + 2w = 20 + -2w + 2w Combine like terms: -2w + 2w = 0 4 + 2w = 20 + 0 4 + 2w = 20 Add '-4' to each side of the equation. 4 + -4 + 2w = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 2w = 20 + -4 2w = 20 + -4 Combine like terms: 20 + -4 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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