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Simplifying 2w + 7 = 3(5 + -4w) Reorder the terms: 7 + 2w = 3(5 + -4w) 7 + 2w = (5 * 3 + -4w * 3) 7 + 2w = (15 + -12w) Solving 7 + 2w = 15 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 7 + 2w + 12w = 15 + -12w + 12w Combine like terms: 2w + 12w = 14w 7 + 14w = 15 + -12w + 12w Combine like terms: -12w + 12w = 0 7 + 14w = 15 + 0 7 + 14w = 15 Add '-7' to each side of the equation. 7 + -7 + 14w = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 14w = 15 + -7 14w = 15 + -7 Combine like terms: 15 + -7 = 8 14w = 8 Divide each side by '14'. w = 0.5714285714 Simplifying w = 0.5714285714
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