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Simplifying w + 15 = 2w + -47 Reorder the terms: 15 + w = 2w + -47 Reorder the terms: 15 + w = -47 + 2w Solving 15 + w = -47 + 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. 15 + w + -2w = -47 + 2w + -2w Combine like terms: w + -2w = -1w 15 + -1w = -47 + 2w + -2w Combine like terms: 2w + -2w = 0 15 + -1w = -47 + 0 15 + -1w = -47 Add '-15' to each side of the equation. 15 + -15 + -1w = -47 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = -47 + -15 -1w = -47 + -15 Combine like terms: -47 + -15 = -62 -1w = -62 Divide each side by '-1'. w = 62 Simplifying w = 62
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