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Simplifying 18w + 45 + -2w = 56 + -1w + -10w Reorder the terms: 45 + 18w + -2w = 56 + -1w + -10w Combine like terms: 18w + -2w = 16w 45 + 16w = 56 + -1w + -10w Combine like terms: -1w + -10w = -11w 45 + 16w = 56 + -11w Solving 45 + 16w = 56 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. 45 + 16w + 11w = 56 + -11w + 11w Combine like terms: 16w + 11w = 27w 45 + 27w = 56 + -11w + 11w Combine like terms: -11w + 11w = 0 45 + 27w = 56 + 0 45 + 27w = 56 Add '-45' to each side of the equation. 45 + -45 + 27w = 56 + -45 Combine like terms: 45 + -45 = 0 0 + 27w = 56 + -45 27w = 56 + -45 Combine like terms: 56 + -45 = 11 27w = 11 Divide each side by '27'. w = 0.4074074074 Simplifying w = 0.4074074074
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