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Simplifying 114 = 2(4w + 3) + 2w Reorder the terms: 114 = 2(3 + 4w) + 2w 114 = (3 * 2 + 4w * 2) + 2w 114 = (6 + 8w) + 2w Combine like terms: 8w + 2w = 10w 114 = 6 + 10w Solving 114 = 6 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 114 + -10w = 6 + 10w + -10w Combine like terms: 10w + -10w = 0 114 + -10w = 6 + 0 114 + -10w = 6 Add '-114' to each side of the equation. 114 + -114 + -10w = 6 + -114 Combine like terms: 114 + -114 = 0 0 + -10w = 6 + -114 -10w = 6 + -114 Combine like terms: 6 + -114 = -108 -10w = -108 Divide each side by '-10'. w = 10.8 Simplifying w = 10.8
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