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Simplifying 8w + 8 = 2w + 14 Reorder the terms: 8 + 8w = 2w + 14 Reorder the terms: 8 + 8w = 14 + 2w Solving 8 + 8w = 14 + 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. 8 + 8w + -2w = 14 + 2w + -2w Combine like terms: 8w + -2w = 6w 8 + 6w = 14 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + 6w = 14 + 0 8 + 6w = 14 Add '-8' to each side of the equation. 8 + -8 + 6w = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 6w = 14 + -8 6w = 14 + -8 Combine like terms: 14 + -8 = 6 6w = 6 Divide each side by '6'. w = 1 Simplifying w = 1
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