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Simplifying 6w + 2 = 9w + 14 Reorder the terms: 2 + 6w = 9w + 14 Reorder the terms: 2 + 6w = 14 + 9w Solving 2 + 6w = 14 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 2 + 6w + -9w = 14 + 9w + -9w Combine like terms: 6w + -9w = -3w 2 + -3w = 14 + 9w + -9w Combine like terms: 9w + -9w = 0 2 + -3w = 14 + 0 2 + -3w = 14 Add '-2' to each side of the equation. 2 + -2 + -3w = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = 14 + -2 -3w = 14 + -2 Combine like terms: 14 + -2 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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