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Simplifying 5w + -35w + -25w + -7w + 43w + -19 = 38 Reorder the terms: -19 + 5w + -35w + -25w + -7w + 43w = 38 Combine like terms: 5w + -35w = -30w -19 + -30w + -25w + -7w + 43w = 38 Combine like terms: -30w + -25w = -55w -19 + -55w + -7w + 43w = 38 Combine like terms: -55w + -7w = -62w -19 + -62w + 43w = 38 Combine like terms: -62w + 43w = -19w -19 + -19w = 38 Solving -19 + -19w = 38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -19w = 38 + 19 Combine like terms: -19 + 19 = 0 0 + -19w = 38 + 19 -19w = 38 + 19 Combine like terms: 38 + 19 = 57 -19w = 57 Divide each side by '-19'. w = -3 Simplifying w = -3
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