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Simplifying 8w + -40 = 9w + 18 Reorder the terms: -40 + 8w = 9w + 18 Reorder the terms: -40 + 8w = 18 + 9w Solving -40 + 8w = 18 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -40 + 8w + -9w = 18 + 9w + -9w Combine like terms: 8w + -9w = -1w -40 + -1w = 18 + 9w + -9w Combine like terms: 9w + -9w = 0 -40 + -1w = 18 + 0 -40 + -1w = 18 Add '40' to each side of the equation. -40 + 40 + -1w = 18 + 40 Combine like terms: -40 + 40 = 0 0 + -1w = 18 + 40 -1w = 18 + 40 Combine like terms: 18 + 40 = 58 -1w = 58 Divide each side by '-1'. w = -58 Simplifying w = -58
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