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Simplifying 8 = 6(11 + w) + 8 8 = (11 * 6 + w * 6) + 8 8 = (66 + 6w) + 8 Reorder the terms: 8 = 66 + 8 + 6w Combine like terms: 66 + 8 = 74 8 = 74 + 6w Solving 8 = 74 + 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. 8 + -6w = 74 + 6w + -6w Combine like terms: 6w + -6w = 0 8 + -6w = 74 + 0 8 + -6w = 74 Add '-8' to each side of the equation. 8 + -8 + -6w = 74 + -8 Combine like terms: 8 + -8 = 0 0 + -6w = 74 + -8 -6w = 74 + -8 Combine like terms: 74 + -8 = 66 -6w = 66 Divide each side by '-6'. w = -11 Simplifying w = -11
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