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Simplifying 278 = w + 83 Reorder the terms: 278 = 83 + w Solving 278 = 83 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 278 + -1w = 83 + w + -1w Combine like terms: w + -1w = 0 278 + -1w = 83 + 0 278 + -1w = 83 Add '-278' to each side of the equation. 278 + -278 + -1w = 83 + -278 Combine like terms: 278 + -278 = 0 0 + -1w = 83 + -278 -1w = 83 + -278 Combine like terms: 83 + -278 = -195 -1w = -195 Divide each side by '-1'. w = 195 Simplifying w = 195
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