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Simplifying w + 45 = 2w + 40 Reorder the terms: 45 + w = 2w + 40 Reorder the terms: 45 + w = 40 + 2w Solving 45 + w = 40 + 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 + w + -2w = 40 + 2w + -2w Combine like terms: w + -2w = -1w 45 + -1w = 40 + 2w + -2w Combine like terms: 2w + -2w = 0 45 + -1w = 40 + 0 45 + -1w = 40 Add '-45' to each side of the equation. 45 + -45 + -1w = 40 + -45 Combine like terms: 45 + -45 = 0 0 + -1w = 40 + -45 -1w = 40 + -45 Combine like terms: 40 + -45 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5
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