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Simplifying w + 40 + w = w + 45 + w + 45 + w + 45 Reorder the terms: 40 + w + w = w + 45 + w + 45 + w + 45 Combine like terms: w + w = 2w 40 + 2w = w + 45 + w + 45 + w + 45 Reorder the terms: 40 + 2w = 45 + 45 + 45 + w + w + w Combine like terms: 45 + 45 = 90 40 + 2w = 90 + 45 + w + w + w Combine like terms: 90 + 45 = 135 40 + 2w = 135 + w + w + w Combine like terms: w + w = 2w 40 + 2w = 135 + 2w + w Combine like terms: 2w + w = 3w 40 + 2w = 135 + 3w Solving 40 + 2w = 135 + 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. 40 + 2w + -3w = 135 + 3w + -3w Combine like terms: 2w + -3w = -1w 40 + -1w = 135 + 3w + -3w Combine like terms: 3w + -3w = 0 40 + -1w = 135 + 0 40 + -1w = 135 Add '-40' to each side of the equation. 40 + -40 + -1w = 135 + -40 Combine like terms: 40 + -40 = 0 0 + -1w = 135 + -40 -1w = 135 + -40 Combine like terms: 135 + -40 = 95 -1w = 95 Divide each side by '-1'. w = -95 Simplifying w = -95
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