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Simplifying 3 + 3 + 6w + 2 = 6w + 4w Reorder the terms: 3 + 3 + 2 + 6w = 6w + 4w Combine like terms: 3 + 3 = 6 6 + 2 + 6w = 6w + 4w Combine like terms: 6 + 2 = 8 8 + 6w = 6w + 4w Combine like terms: 6w + 4w = 10w 8 + 6w = 10w Solving 8 + 6w = 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 + 6w + -10w = 10w + -10w Combine like terms: 6w + -10w = -4w 8 + -4w = 10w + -10w Combine like terms: 10w + -10w = 0 8 + -4w = 0 Add '-8' to each side of the equation. 8 + -8 + -4w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4w = 0 + -8 -4w = 0 + -8 Combine like terms: 0 + -8 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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