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Simplifying w + 19 = 2w + -15 Reorder the terms: 19 + w = 2w + -15 Reorder the terms: 19 + w = -15 + 2w Solving 19 + w = -15 + 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. 19 + w + -2w = -15 + 2w + -2w Combine like terms: w + -2w = -1w 19 + -1w = -15 + 2w + -2w Combine like terms: 2w + -2w = 0 19 + -1w = -15 + 0 19 + -1w = -15 Add '-19' to each side of the equation. 19 + -19 + -1w = -15 + -19 Combine like terms: 19 + -19 = 0 0 + -1w = -15 + -19 -1w = -15 + -19 Combine like terms: -15 + -19 = -34 -1w = -34 Divide each side by '-1'. w = 34 Simplifying w = 34
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