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Simplifying 14w + -29 = 7w + 20 Reorder the terms: -29 + 14w = 7w + 20 Reorder the terms: -29 + 14w = 20 + 7w Solving -29 + 14w = 20 + 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. -29 + 14w + -7w = 20 + 7w + -7w Combine like terms: 14w + -7w = 7w -29 + 7w = 20 + 7w + -7w Combine like terms: 7w + -7w = 0 -29 + 7w = 20 + 0 -29 + 7w = 20 Add '29' to each side of the equation. -29 + 29 + 7w = 20 + 29 Combine like terms: -29 + 29 = 0 0 + 7w = 20 + 29 7w = 20 + 29 Combine like terms: 20 + 29 = 49 7w = 49 Divide each side by '7'. w = 7 Simplifying w = 7
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