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Simplifying 4w + -53 + 5w = 73 + 11w Reorder the terms: -53 + 4w + 5w = 73 + 11w Combine like terms: 4w + 5w = 9w -53 + 9w = 73 + 11w Solving -53 + 9w = 73 + 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. -53 + 9w + -11w = 73 + 11w + -11w Combine like terms: 9w + -11w = -2w -53 + -2w = 73 + 11w + -11w Combine like terms: 11w + -11w = 0 -53 + -2w = 73 + 0 -53 + -2w = 73 Add '53' to each side of the equation. -53 + 53 + -2w = 73 + 53 Combine like terms: -53 + 53 = 0 0 + -2w = 73 + 53 -2w = 73 + 53 Combine like terms: 73 + 53 = 126 -2w = 126 Divide each side by '-2'. w = -63 Simplifying w = -63
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