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Simplifying -54 = 6w + 24 Reorder the terms: -54 = 24 + 6w Solving -54 = 24 + 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 = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 -54 + -6w = 24 + 0 -54 + -6w = 24 Add '54' to each side of the equation. -54 + 54 + -6w = 24 + 54 Combine like terms: -54 + 54 = 0 0 + -6w = 24 + 54 -6w = 24 + 54 Combine like terms: 24 + 54 = 78 -6w = 78 Divide each side by '-6'. w = -13 Simplifying w = -13
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