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Simplifying 7w + -6 = 2(w + 6) Reorder the terms: -6 + 7w = 2(w + 6) Reorder the terms: -6 + 7w = 2(6 + w) -6 + 7w = (6 * 2 + w * 2) -6 + 7w = (12 + 2w) Solving -6 + 7w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -6 + 7w + -2w = 12 + 2w + -2w Combine like terms: 7w + -2w = 5w -6 + 5w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + 5w = 12 + 0 -6 + 5w = 12 Add '6' to each side of the equation. -6 + 6 + 5w = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 5w = 12 + 6 5w = 12 + 6 Combine like terms: 12 + 6 = 18 5w = 18 Divide each side by '5'. w = 3.6 Simplifying w = 3.6
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