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Simplifying 640 = 2(3w + -12) + -2w Reorder the terms: 640 = 2(-12 + 3w) + -2w 640 = (-12 * 2 + 3w * 2) + -2w 640 = (-24 + 6w) + -2w Combine like terms: 6w + -2w = 4w 640 = -24 + 4w Solving 640 = -24 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 640 + -4w = -24 + 4w + -4w Combine like terms: 4w + -4w = 0 640 + -4w = -24 + 0 640 + -4w = -24 Add '-640' to each side of the equation. 640 + -640 + -4w = -24 + -640 Combine like terms: 640 + -640 = 0 0 + -4w = -24 + -640 -4w = -24 + -640 Combine like terms: -24 + -640 = -664 -4w = -664 Divide each side by '-4'. w = 166 Simplifying w = 166
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