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Simplifying -17 + -5w + -19w = -17w + 18 Combine like terms: -5w + -19w = -24w -17 + -24w = -17w + 18 Reorder the terms: -17 + -24w = 18 + -17w Solving -17 + -24w = 18 + -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. -17 + -24w + 17w = 18 + -17w + 17w Combine like terms: -24w + 17w = -7w -17 + -7w = 18 + -17w + 17w Combine like terms: -17w + 17w = 0 -17 + -7w = 18 + 0 -17 + -7w = 18 Add '17' to each side of the equation. -17 + 17 + -7w = 18 + 17 Combine like terms: -17 + 17 = 0 0 + -7w = 18 + 17 -7w = 18 + 17 Combine like terms: 18 + 17 = 35 -7w = 35 Divide each side by '-7'. w = -5 Simplifying w = -5
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