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Simplifying 5w + -41 = 17w + -35 Reorder the terms: -41 + 5w = 17w + -35 Reorder the terms: -41 + 5w = -35 + 17w Solving -41 + 5w = -35 + 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. -41 + 5w + -17w = -35 + 17w + -17w Combine like terms: 5w + -17w = -12w -41 + -12w = -35 + 17w + -17w Combine like terms: 17w + -17w = 0 -41 + -12w = -35 + 0 -41 + -12w = -35 Add '41' to each side of the equation. -41 + 41 + -12w = -35 + 41 Combine like terms: -41 + 41 = 0 0 + -12w = -35 + 41 -12w = -35 + 41 Combine like terms: -35 + 41 = 6 -12w = 6 Divide each side by '-12'. w = -0.5 Simplifying w = -0.5
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