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Simplifying 10w + 30 + -1w + -1 = 3 + 3w Reorder the terms: 30 + -1 + 10w + -1w = 3 + 3w Combine like terms: 30 + -1 = 29 29 + 10w + -1w = 3 + 3w Combine like terms: 10w + -1w = 9w 29 + 9w = 3 + 3w Solving 29 + 9w = 3 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 29 + 9w + -3w = 3 + 3w + -3w Combine like terms: 9w + -3w = 6w 29 + 6w = 3 + 3w + -3w Combine like terms: 3w + -3w = 0 29 + 6w = 3 + 0 29 + 6w = 3 Add '-29' to each side of the equation. 29 + -29 + 6w = 3 + -29 Combine like terms: 29 + -29 = 0 0 + 6w = 3 + -29 6w = 3 + -29 Combine like terms: 3 + -29 = -26 6w = -26 Divide each side by '6'. w = -4.333333333 Simplifying w = -4.333333333
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