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Simplifying 100 + -2w = 10 + 3w Solving 100 + -2w = 10 + 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. 100 + -2w + -3w = 10 + 3w + -3w Combine like terms: -2w + -3w = -5w 100 + -5w = 10 + 3w + -3w Combine like terms: 3w + -3w = 0 100 + -5w = 10 + 0 100 + -5w = 10 Add '-100' to each side of the equation. 100 + -100 + -5w = 10 + -100 Combine like terms: 100 + -100 = 0 0 + -5w = 10 + -100 -5w = 10 + -100 Combine like terms: 10 + -100 = -90 -5w = -90 Divide each side by '-5'. w = 18 Simplifying w = 18
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