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Simplifying 5 = 6w + -9w + -1 Reorder the terms: 5 = -1 + 6w + -9w Combine like terms: 6w + -9w = -3w 5 = -1 + -3w Solving 5 = -1 + -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. 5 + 3w = -1 + -3w + 3w Combine like terms: -3w + 3w = 0 5 + 3w = -1 + 0 5 + 3w = -1 Add '-5' to each side of the equation. 5 + -5 + 3w = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = -1 + -5 3w = -1 + -5 Combine like terms: -1 + -5 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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