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Simplifying 114 = 6 + 2w + w Combine like terms: 2w + w = 3w 114 = 6 + 3w Solving 114 = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 114 + -3w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 114 + -3w = 6 + 0 114 + -3w = 6 Add '-114' to each side of the equation. 114 + -114 + -3w = 6 + -114 Combine like terms: 114 + -114 = 0 0 + -3w = 6 + -114 -3w = 6 + -114 Combine like terms: 6 + -114 = -108 -3w = -108 Divide each side by '-3'. w = 36 Simplifying w = 36
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