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Simplifying 2(8 + w) = 22 + 14w (8 * 2 + w * 2) = 22 + 14w (16 + 2w) = 22 + 14w Solving 16 + 2w = 22 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 16 + 2w + -14w = 22 + 14w + -14w Combine like terms: 2w + -14w = -12w 16 + -12w = 22 + 14w + -14w Combine like terms: 14w + -14w = 0 16 + -12w = 22 + 0 16 + -12w = 22 Add '-16' to each side of the equation. 16 + -16 + -12w = 22 + -16 Combine like terms: 16 + -16 = 0 0 + -12w = 22 + -16 -12w = 22 + -16 Combine like terms: 22 + -16 = 6 -12w = 6 Divide each side by '-12'. w = -0.5 Simplifying w = -0.5
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