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Simplifying 5(w + 6) + -7w = 32 Reorder the terms: 5(6 + w) + -7w = 32 (6 * 5 + w * 5) + -7w = 32 (30 + 5w) + -7w = 32 Combine like terms: 5w + -7w = -2w 30 + -2w = 32 Solving 30 + -2w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -2w = 32 + -30 Combine like terms: 30 + -30 = 0 0 + -2w = 32 + -30 -2w = 32 + -30 Combine like terms: 32 + -30 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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