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Simplifying 5(w + 6) + -7w = 12 Reorder the terms: 5(6 + w) + -7w = 12 (6 * 5 + w * 5) + -7w = 12 (30 + 5w) + -7w = 12 Combine like terms: 5w + -7w = -2w 30 + -2w = 12 Solving 30 + -2w = 12 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 = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -2w = 12 + -30 -2w = 12 + -30 Combine like terms: 12 + -30 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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