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Simplifying -5(w + -6) + 7w + 2 = 0 Reorder the terms: -5(-6 + w) + 7w + 2 = 0 (-6 * -5 + w * -5) + 7w + 2 = 0 (30 + -5w) + 7w + 2 = 0 Reorder the terms: 30 + 2 + -5w + 7w = 0 Combine like terms: 30 + 2 = 32 32 + -5w + 7w = 0 Combine like terms: -5w + 7w = 2w 32 + 2w = 0 Solving 32 + 2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 2w = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 2w = 0 + -32 2w = 0 + -32 Combine like terms: 0 + -32 = -32 2w = -32 Divide each side by '2'. w = -16 Simplifying w = -16
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