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Simplifying 10 + -3w = 2 + 5w Solving 10 + -3w = 2 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 10 + -3w + -5w = 2 + 5w + -5w Combine like terms: -3w + -5w = -8w 10 + -8w = 2 + 5w + -5w Combine like terms: 5w + -5w = 0 10 + -8w = 2 + 0 10 + -8w = 2 Add '-10' to each side of the equation. 10 + -10 + -8w = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -8w = 2 + -10 -8w = 2 + -10 Combine like terms: 2 + -10 = -8 -8w = -8 Divide each side by '-8'. w = 1 Simplifying w = 1
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