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Simplifying 37 + -19w = -6w + 41 Reorder the terms: 37 + -19w = 41 + -6w Solving 37 + -19w = 41 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 37 + -19w + 6w = 41 + -6w + 6w Combine like terms: -19w + 6w = -13w 37 + -13w = 41 + -6w + 6w Combine like terms: -6w + 6w = 0 37 + -13w = 41 + 0 37 + -13w = 41 Add '-37' to each side of the equation. 37 + -37 + -13w = 41 + -37 Combine like terms: 37 + -37 = 0 0 + -13w = 41 + -37 -13w = 41 + -37 Combine like terms: 41 + -37 = 4 -13w = 4 Divide each side by '-13'. w = -0.3076923077 Simplifying w = -0.3076923077
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