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Simplifying -14w + 7 + 2w = 9 + 6w + -8 Reorder the terms: 7 + -14w + 2w = 9 + 6w + -8 Combine like terms: -14w + 2w = -12w 7 + -12w = 9 + 6w + -8 Reorder the terms: 7 + -12w = 9 + -8 + 6w Combine like terms: 9 + -8 = 1 7 + -12w = 1 + 6w Solving 7 + -12w = 1 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 7 + -12w + -6w = 1 + 6w + -6w Combine like terms: -12w + -6w = -18w 7 + -18w = 1 + 6w + -6w Combine like terms: 6w + -6w = 0 7 + -18w = 1 + 0 7 + -18w = 1 Add '-7' to each side of the equation. 7 + -7 + -18w = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -18w = 1 + -7 -18w = 1 + -7 Combine like terms: 1 + -7 = -6 -18w = -6 Divide each side by '-18'. w = 0.3333333333 Simplifying w = 0.3333333333
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