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Simplifying 27 + -7w = 21 + w Solving 27 + -7w = 21 + 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. 27 + -7w + -1w = 21 + w + -1w Combine like terms: -7w + -1w = -8w 27 + -8w = 21 + w + -1w Combine like terms: w + -1w = 0 27 + -8w = 21 + 0 27 + -8w = 21 Add '-27' to each side of the equation. 27 + -27 + -8w = 21 + -27 Combine like terms: 27 + -27 = 0 0 + -8w = 21 + -27 -8w = 21 + -27 Combine like terms: 21 + -27 = -6 -8w = -6 Divide each side by '-8'. w = 0.75 Simplifying w = 0.75
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