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Simplifying 120 = 2(2w + -12) + 2w Reorder the terms: 120 = 2(-12 + 2w) + 2w 120 = (-12 * 2 + 2w * 2) + 2w 120 = (-24 + 4w) + 2w Combine like terms: 4w + 2w = 6w 120 = -24 + 6w Solving 120 = -24 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 120 + -6w = -24 + 6w + -6w Combine like terms: 6w + -6w = 0 120 + -6w = -24 + 0 120 + -6w = -24 Add '-120' to each side of the equation. 120 + -120 + -6w = -24 + -120 Combine like terms: 120 + -120 = 0 0 + -6w = -24 + -120 -6w = -24 + -120 Combine like terms: -24 + -120 = -144 -6w = -144 Divide each side by '-6'. w = 24 Simplifying w = 24
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