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Simplifying 2w + 6 = 13 + -4w Reorder the terms: 6 + 2w = 13 + -4w Solving 6 + 2w = 13 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 6 + 2w + 4w = 13 + -4w + 4w Combine like terms: 2w + 4w = 6w 6 + 6w = 13 + -4w + 4w Combine like terms: -4w + 4w = 0 6 + 6w = 13 + 0 6 + 6w = 13 Add '-6' to each side of the equation. 6 + -6 + 6w = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 6w = 13 + -6 6w = 13 + -6 Combine like terms: 13 + -6 = 7 6w = 7 Divide each side by '6'. w = 1.166666667 Simplifying w = 1.166666667
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