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Simplifying 17 + -8w = 12w + 7 Reorder the terms: 17 + -8w = 7 + 12w Solving 17 + -8w = 7 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 17 + -8w + -12w = 7 + 12w + -12w Combine like terms: -8w + -12w = -20w 17 + -20w = 7 + 12w + -12w Combine like terms: 12w + -12w = 0 17 + -20w = 7 + 0 17 + -20w = 7 Add '-17' to each side of the equation. 17 + -17 + -20w = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -20w = 7 + -17 -20w = 7 + -17 Combine like terms: 7 + -17 = -10 -20w = -10 Divide each side by '-20'. w = 0.5 Simplifying w = 0.5
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