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Simplifying 6w + 3 + 3 = 2w + -5 + 3 Reorder the terms: 3 + 3 + 6w = 2w + -5 + 3 Combine like terms: 3 + 3 = 6 6 + 6w = 2w + -5 + 3 Reorder the terms: 6 + 6w = -5 + 3 + 2w Combine like terms: -5 + 3 = -2 6 + 6w = -2 + 2w Solving 6 + 6w = -2 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 6 + 6w + -2w = -2 + 2w + -2w Combine like terms: 6w + -2w = 4w 6 + 4w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 6 + 4w = -2 + 0 6 + 4w = -2 Add '-6' to each side of the equation. 6 + -6 + 4w = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 4w = -2 + -6 4w = -2 + -6 Combine like terms: -2 + -6 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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