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Simplifying 7w + -42 = -7w + 28 Reorder the terms: -42 + 7w = -7w + 28 Reorder the terms: -42 + 7w = 28 + -7w Solving -42 + 7w = 28 + -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. -42 + 7w + 7w = 28 + -7w + 7w Combine like terms: 7w + 7w = 14w -42 + 14w = 28 + -7w + 7w Combine like terms: -7w + 7w = 0 -42 + 14w = 28 + 0 -42 + 14w = 28 Add '42' to each side of the equation. -42 + 42 + 14w = 28 + 42 Combine like terms: -42 + 42 = 0 0 + 14w = 28 + 42 14w = 28 + 42 Combine like terms: 28 + 42 = 70 14w = 70 Divide each side by '14'. w = 5 Simplifying w = 5
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