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Simplifying 5w + -9 + 3w + -9w + -4 + w = 6w + 2 + -1w Reorder the terms: -9 + -4 + 5w + 3w + -9w + w = 6w + 2 + -1w Combine like terms: -9 + -4 = -13 -13 + 5w + 3w + -9w + w = 6w + 2 + -1w Combine like terms: 5w + 3w = 8w -13 + 8w + -9w + w = 6w + 2 + -1w Combine like terms: 8w + -9w = -1w -13 + -1w + w = 6w + 2 + -1w Combine like terms: -1w + w = 0 -13 + 0 = 6w + 2 + -1w -13 = 6w + 2 + -1w Reorder the terms: -13 = 2 + 6w + -1w Combine like terms: 6w + -1w = 5w -13 = 2 + 5w Solving -13 = 2 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -13 + -5w = 2 + 5w + -5w Combine like terms: 5w + -5w = 0 -13 + -5w = 2 + 0 -13 + -5w = 2 Add '13' to each side of the equation. -13 + 13 + -5w = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -5w = 2 + 13 -5w = 2 + 13 Combine like terms: 2 + 13 = 15 -5w = 15 Divide each side by '-5'. w = -3 Simplifying w = -3
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