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Simplifying 8w + -7 = 3w + 28 Reorder the terms: -7 + 8w = 3w + 28 Reorder the terms: -7 + 8w = 28 + 3w Solving -7 + 8w = 28 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -7 + 8w + -3w = 28 + 3w + -3w Combine like terms: 8w + -3w = 5w -7 + 5w = 28 + 3w + -3w Combine like terms: 3w + -3w = 0 -7 + 5w = 28 + 0 -7 + 5w = 28 Add '7' to each side of the equation. -7 + 7 + 5w = 28 + 7 Combine like terms: -7 + 7 = 0 0 + 5w = 28 + 7 5w = 28 + 7 Combine like terms: 28 + 7 = 35 5w = 35 Divide each side by '5'. w = 7 Simplifying w = 7
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