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Simplifying 167 = 2(3w + -5) + 2w Reorder the terms: 167 = 2(-5 + 3w) + 2w 167 = (-5 * 2 + 3w * 2) + 2w 167 = (-10 + 6w) + 2w Combine like terms: 6w + 2w = 8w 167 = -10 + 8w Solving 167 = -10 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 167 + -8w = -10 + 8w + -8w Combine like terms: 8w + -8w = 0 167 + -8w = -10 + 0 167 + -8w = -10 Add '-167' to each side of the equation. 167 + -167 + -8w = -10 + -167 Combine like terms: 167 + -167 = 0 0 + -8w = -10 + -167 -8w = -10 + -167 Combine like terms: -10 + -167 = -177 -8w = -177 Divide each side by '-8'. w = 22.125 Simplifying w = 22.125
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