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Simplifying 54 = 8w + -2w Combine like terms: 8w + -2w = 6w 54 = 6w Solving 54 = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 54 + -6w = 6w + -6w Combine like terms: 6w + -6w = 0 54 + -6w = 0 Add '-54' to each side of the equation. 54 + -54 + -6w = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -6w = 0 + -54 -6w = 0 + -54 Combine like terms: 0 + -54 = -54 -6w = -54 Divide each side by '-6'. w = 9 Simplifying w = 9
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