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Simplifying 76 = 2(2w + -7) + 2w Reorder the terms: 76 = 2(-7 + 2w) + 2w 76 = (-7 * 2 + 2w * 2) + 2w 76 = (-14 + 4w) + 2w Combine like terms: 4w + 2w = 6w 76 = -14 + 6w Solving 76 = -14 + 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. 76 + -6w = -14 + 6w + -6w Combine like terms: 6w + -6w = 0 76 + -6w = -14 + 0 76 + -6w = -14 Add '-76' to each side of the equation. 76 + -76 + -6w = -14 + -76 Combine like terms: 76 + -76 = 0 0 + -6w = -14 + -76 -6w = -14 + -76 Combine like terms: -14 + -76 = -90 -6w = -90 Divide each side by '-6'. w = 15 Simplifying w = 15
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