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Simplifying 6w + -54 = 3w Reorder the terms: -54 + 6w = 3w Solving -54 + 6w = 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. -54 + 6w + -3w = 3w + -3w Combine like terms: 6w + -3w = 3w -54 + 3w = 3w + -3w Combine like terms: 3w + -3w = 0 -54 + 3w = 0 Add '54' to each side of the equation. -54 + 54 + 3w = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 3w = 0 + 54 3w = 0 + 54 Combine like terms: 0 + 54 = 54 3w = 54 Divide each side by '3'. w = 18 Simplifying w = 18
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