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Simplifying 10 + -3w = 2w + -8w + 40 Reorder the terms: 10 + -3w = 40 + 2w + -8w Combine like terms: 2w + -8w = -6w 10 + -3w = 40 + -6w Solving 10 + -3w = 40 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 10 + -3w + 6w = 40 + -6w + 6w Combine like terms: -3w + 6w = 3w 10 + 3w = 40 + -6w + 6w Combine like terms: -6w + 6w = 0 10 + 3w = 40 + 0 10 + 3w = 40 Add '-10' to each side of the equation. 10 + -10 + 3w = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = 40 + -10 3w = 40 + -10 Combine like terms: 40 + -10 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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