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Simplifying 186 = 6(8 + w) 186 = (8 * 6 + w * 6) 186 = (48 + 6w) Solving 186 = 48 + 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. 186 + -6w = 48 + 6w + -6w Combine like terms: 6w + -6w = 0 186 + -6w = 48 + 0 186 + -6w = 48 Add '-186' to each side of the equation. 186 + -186 + -6w = 48 + -186 Combine like terms: 186 + -186 = 0 0 + -6w = 48 + -186 -6w = 48 + -186 Combine like terms: 48 + -186 = -138 -6w = -138 Divide each side by '-6'. w = 23 Simplifying w = 23
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