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Simplifying 15w + -9 = 7w + 7 Reorder the terms: -9 + 15w = 7w + 7 Reorder the terms: -9 + 15w = 7 + 7w Solving -9 + 15w = 7 + 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. -9 + 15w + -7w = 7 + 7w + -7w Combine like terms: 15w + -7w = 8w -9 + 8w = 7 + 7w + -7w Combine like terms: 7w + -7w = 0 -9 + 8w = 7 + 0 -9 + 8w = 7 Add '9' to each side of the equation. -9 + 9 + 8w = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 8w = 7 + 9 8w = 7 + 9 Combine like terms: 7 + 9 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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