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Simplifying 6w + 9 = 2w + 1 Reorder the terms: 9 + 6w = 2w + 1 Reorder the terms: 9 + 6w = 1 + 2w Solving 9 + 6w = 1 + 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. 9 + 6w + -2w = 1 + 2w + -2w Combine like terms: 6w + -2w = 4w 9 + 4w = 1 + 2w + -2w Combine like terms: 2w + -2w = 0 9 + 4w = 1 + 0 9 + 4w = 1 Add '-9' to each side of the equation. 9 + -9 + 4w = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 4w = 1 + -9 4w = 1 + -9 Combine like terms: 1 + -9 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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