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Simplifying 114 = 2w + 2(4w + -3) Reorder the terms: 114 = 2w + 2(-3 + 4w) 114 = 2w + (-3 * 2 + 4w * 2) 114 = 2w + (-6 + 8w) Reorder the terms: 114 = -6 + 2w + 8w Combine like terms: 2w + 8w = 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 = -120 -10w = -120 Divide each side by '-10'. w = 12 Simplifying w = 12
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