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Simplifying 640 = 2w + 2(3w + -12) Reorder the terms: 640 = 2w + 2(-12 + 3w) 640 = 2w + (-12 * 2 + 3w * 2) 640 = 2w + (-24 + 6w) Reorder the terms: 640 = -24 + 2w + 6w Combine like terms: 2w + 6w = 8w 640 = -24 + 8w Solving 640 = -24 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 640 + -8w = -24 + 8w + -8w Combine like terms: 8w + -8w = 0 640 + -8w = -24 + 0 640 + -8w = -24 Add '-640' to each side of the equation. 640 + -640 + -8w = -24 + -640 Combine like terms: 640 + -640 = 0 0 + -8w = -24 + -640 -8w = -24 + -640 Combine like terms: -24 + -640 = -664 -8w = -664 Divide each side by '-8'. w = 83 Simplifying w = 83
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