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Simplifying 45 + 4w = 61 + 2w Solving 45 + 4w = 61 + 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. 45 + 4w + -2w = 61 + 2w + -2w Combine like terms: 4w + -2w = 2w 45 + 2w = 61 + 2w + -2w Combine like terms: 2w + -2w = 0 45 + 2w = 61 + 0 45 + 2w = 61 Add '-45' to each side of the equation. 45 + -45 + 2w = 61 + -45 Combine like terms: 45 + -45 = 0 0 + 2w = 61 + -45 2w = 61 + -45 Combine like terms: 61 + -45 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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