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Simplifying 120 = 2(6 + -3x) + 2w 120 = (6 * 2 + -3x * 2) + 2w 120 = (12 + -6x) + 2w Reorder the terms: 120 = 12 + 2w + -6x Solving 120 = 12 + 2w + -6x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 120 + -2w = 12 + 2w + -2w + -6x Combine like terms: 2w + -2w = 0 120 + -2w = 12 + 0 + -6x 120 + -2w = 12 + -6x Add '-120' to each side of the equation. 120 + -120 + -2w = 12 + -120 + -6x Combine like terms: 120 + -120 = 0 0 + -2w = 12 + -120 + -6x -2w = 12 + -120 + -6x Combine like terms: 12 + -120 = -108 -2w = -108 + -6x Divide each side by '-2'. w = 54 + 3x Simplifying w = 54 + 3x
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