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Simplifying 42 = w + -15 Reorder the terms: 42 = -15 + w Solving 42 = -15 + 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. 42 + -1w = -15 + w + -1w Combine like terms: w + -1w = 0 42 + -1w = -15 + 0 42 + -1w = -15 Add '-42' to each side of the equation. 42 + -42 + -1w = -15 + -42 Combine like terms: 42 + -42 = 0 0 + -1w = -15 + -42 -1w = -15 + -42 Combine like terms: -15 + -42 = -57 -1w = -57 Divide each side by '-1'. w = 57 Simplifying w = 57
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