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Simplifying -11 = 14w + 3w + -45 Reorder the terms: -11 = -45 + 14w + 3w Combine like terms: 14w + 3w = 17w -11 = -45 + 17w Solving -11 = -45 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -11 + -17w = -45 + 17w + -17w Combine like terms: 17w + -17w = 0 -11 + -17w = -45 + 0 -11 + -17w = -45 Add '11' to each side of the equation. -11 + 11 + -17w = -45 + 11 Combine like terms: -11 + 11 = 0 0 + -17w = -45 + 11 -17w = -45 + 11 Combine like terms: -45 + 11 = -34 -17w = -34 Divide each side by '-17'. w = 2 Simplifying w = 2
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