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Simplifying -8w + 9 = 7w + 54 Reorder the terms: 9 + -8w = 7w + 54 Reorder the terms: 9 + -8w = 54 + 7w Solving 9 + -8w = 54 + 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 + -8w + -7w = 54 + 7w + -7w Combine like terms: -8w + -7w = -15w 9 + -15w = 54 + 7w + -7w Combine like terms: 7w + -7w = 0 9 + -15w = 54 + 0 9 + -15w = 54 Add '-9' to each side of the equation. 9 + -9 + -15w = 54 + -9 Combine like terms: 9 + -9 = 0 0 + -15w = 54 + -9 -15w = 54 + -9 Combine like terms: 54 + -9 = 45 -15w = 45 Divide each side by '-15'. w = -3 Simplifying w = -3
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