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Simplifying 3w + -3 + -6 = 27w + -6 + -9w Reorder the terms: -3 + -6 + 3w = 27w + -6 + -9w Combine like terms: -3 + -6 = -9 -9 + 3w = 27w + -6 + -9w Reorder the terms: -9 + 3w = -6 + 27w + -9w Combine like terms: 27w + -9w = 18w -9 + 3w = -6 + 18w Solving -9 + 3w = -6 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. -9 + 3w + -18w = -6 + 18w + -18w Combine like terms: 3w + -18w = -15w -9 + -15w = -6 + 18w + -18w Combine like terms: 18w + -18w = 0 -9 + -15w = -6 + 0 -9 + -15w = -6 Add '9' to each side of the equation. -9 + 9 + -15w = -6 + 9 Combine like terms: -9 + 9 = 0 0 + -15w = -6 + 9 -15w = -6 + 9 Combine like terms: -6 + 9 = 3 -15w = 3 Divide each side by '-15'. w = -0.2 Simplifying w = -0.2
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