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Simplifying 6 + -18 = 3w + -5 + -9w Combine like terms: 6 + -18 = -12 -12 = 3w + -5 + -9w Reorder the terms: -12 = -5 + 3w + -9w Combine like terms: 3w + -9w = -6w -12 = -5 + -6w Solving -12 = -5 + -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. -12 + 6w = -5 + -6w + 6w Combine like terms: -6w + 6w = 0 -12 + 6w = -5 + 0 -12 + 6w = -5 Add '12' to each side of the equation. -12 + 12 + 6w = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 6w = -5 + 12 6w = -5 + 12 Combine like terms: -5 + 12 = 7 6w = 7 Divide each side by '6'. w = 1.166666667 Simplifying w = 1.166666667
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