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Simplifying -11 + 8w = 11 + 12w + 6 Reorder the terms: -11 + 8w = 11 + 6 + 12w Combine like terms: 11 + 6 = 17 -11 + 8w = 17 + 12w Solving -11 + 8w = 17 + 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. -11 + 8w + -12w = 17 + 12w + -12w Combine like terms: 8w + -12w = -4w -11 + -4w = 17 + 12w + -12w Combine like terms: 12w + -12w = 0 -11 + -4w = 17 + 0 -11 + -4w = 17 Add '11' to each side of the equation. -11 + 11 + -4w = 17 + 11 Combine like terms: -11 + 11 = 0 0 + -4w = 17 + 11 -4w = 17 + 11 Combine like terms: 17 + 11 = 28 -4w = 28 Divide each side by '-4'. w = -7 Simplifying w = -7
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