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Simplifying 6w + 8 + -13w = 20 + -10w Reorder the terms: 8 + 6w + -13w = 20 + -10w Combine like terms: 6w + -13w = -7w 8 + -7w = 20 + -10w Solving 8 + -7w = 20 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 8 + -7w + 10w = 20 + -10w + 10w Combine like terms: -7w + 10w = 3w 8 + 3w = 20 + -10w + 10w Combine like terms: -10w + 10w = 0 8 + 3w = 20 + 0 8 + 3w = 20 Add '-8' to each side of the equation. 8 + -8 + 3w = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 3w = 20 + -8 3w = 20 + -8 Combine like terms: 20 + -8 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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