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Simplifying 8w + -17 = 12w + 7 Reorder the terms: -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 = -4w -17 + -4w = 7 + 12w + -12w Combine like terms: 12w + -12w = 0 -17 + -4w = 7 + 0 -17 + -4w = 7 Add '17' to each side of the equation. -17 + 17 + -4w = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -4w = 7 + 17 -4w = 7 + 17 Combine like terms: 7 + 17 = 24 -4w = 24 Divide each side by '-4'. w = -6 Simplifying w = -6
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