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Simplifying -6(w + 4) + 7 = -41 Reorder the terms: -6(4 + w) + 7 = -41 (4 * -6 + w * -6) + 7 = -41 (-24 + -6w) + 7 = -41 Reorder the terms: -24 + 7 + -6w = -41 Combine like terms: -24 + 7 = -17 -17 + -6w = -41 Solving -17 + -6w = -41 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -6w = -41 + 17 Combine like terms: -17 + 17 = 0 0 + -6w = -41 + 17 -6w = -41 + 17 Combine like terms: -41 + 17 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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