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Simplifying 640 = 2(3w + -12) + w Reorder the terms: 640 = 2(-12 + 3w) + w 640 = (-12 * 2 + 3w * 2) + w 640 = (-24 + 6w) + w Combine like terms: 6w + w = 7w 640 = -24 + 7w Solving 640 = -24 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 640 + -7w = -24 + 7w + -7w Combine like terms: 7w + -7w = 0 640 + -7w = -24 + 0 640 + -7w = -24 Add '-640' to each side of the equation. 640 + -640 + -7w = -24 + -640 Combine like terms: 640 + -640 = 0 0 + -7w = -24 + -640 -7w = -24 + -640 Combine like terms: -24 + -640 = -664 -7w = -664 Divide each side by '-7'. w = 94.85714286 Simplifying w = 94.85714286
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