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Simplifying 8 + -3w + 7w + 10 + 2 + -3 = 6w + 5w + -1 + -8 + 9w + -6 Reorder the terms: 8 + 10 + 2 + -3 + -3w + 7w = 6w + 5w + -1 + -8 + 9w + -6 Combine like terms: 8 + 10 = 18 18 + 2 + -3 + -3w + 7w = 6w + 5w + -1 + -8 + 9w + -6 Combine like terms: 18 + 2 = 20 20 + -3 + -3w + 7w = 6w + 5w + -1 + -8 + 9w + -6 Combine like terms: 20 + -3 = 17 17 + -3w + 7w = 6w + 5w + -1 + -8 + 9w + -6 Combine like terms: -3w + 7w = 4w 17 + 4w = 6w + 5w + -1 + -8 + 9w + -6 Reorder the terms: 17 + 4w = -1 + -8 + -6 + 6w + 5w + 9w Combine like terms: -1 + -8 = -9 17 + 4w = -9 + -6 + 6w + 5w + 9w Combine like terms: -9 + -6 = -15 17 + 4w = -15 + 6w + 5w + 9w Combine like terms: 6w + 5w = 11w 17 + 4w = -15 + 11w + 9w Combine like terms: 11w + 9w = 20w 17 + 4w = -15 + 20w Solving 17 + 4w = -15 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 17 + 4w + -20w = -15 + 20w + -20w Combine like terms: 4w + -20w = -16w 17 + -16w = -15 + 20w + -20w Combine like terms: 20w + -20w = 0 17 + -16w = -15 + 0 17 + -16w = -15 Add '-17' to each side of the equation. 17 + -17 + -16w = -15 + -17 Combine like terms: 17 + -17 = 0 0 + -16w = -15 + -17 -16w = -15 + -17 Combine like terms: -15 + -17 = -32 -16w = -32 Divide each side by '-16'. w = 2 Simplifying w = 2
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