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Simplifying 10 + -5w = 5 + -3w Solving 10 + -5w = 5 + -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. 10 + -5w + 3w = 5 + -3w + 3w Combine like terms: -5w + 3w = -2w 10 + -2w = 5 + -3w + 3w Combine like terms: -3w + 3w = 0 10 + -2w = 5 + 0 10 + -2w = 5 Add '-10' to each side of the equation. 10 + -10 + -2w = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = 5 + -10 -2w = 5 + -10 Combine like terms: 5 + -10 = -5 -2w = -5 Divide each side by '-2'. w = 2.5 Simplifying w = 2.5
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