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Simplifying 4 + 2w = 19 + -1w Solving 4 + 2w = 19 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 4 + 2w + w = 19 + -1w + w Combine like terms: 2w + w = 3w 4 + 3w = 19 + -1w + w Combine like terms: -1w + w = 0 4 + 3w = 19 + 0 4 + 3w = 19 Add '-4' to each side of the equation. 4 + -4 + 3w = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 3w = 19 + -4 3w = 19 + -4 Combine like terms: 19 + -4 = 15 3w = 15 Divide each side by '3'. w = 5 Simplifying w = 5
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