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Simplifying 3w + -13 = w + 11 Reorder the terms: -13 + 3w = w + 11 Reorder the terms: -13 + 3w = 11 + w Solving -13 + 3w = 11 + 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. -13 + 3w + -1w = 11 + w + -1w Combine like terms: 3w + -1w = 2w -13 + 2w = 11 + w + -1w Combine like terms: w + -1w = 0 -13 + 2w = 11 + 0 -13 + 2w = 11 Add '13' to each side of the equation. -13 + 13 + 2w = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 2w = 11 + 13 2w = 11 + 13 Combine like terms: 11 + 13 = 24 2w = 24 Divide each side by '2'. w = 12 Simplifying w = 12
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