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Simplifying 5w + -6 = 2(w + 9) Reorder the terms: -6 + 5w = 2(w + 9) Reorder the terms: -6 + 5w = 2(9 + w) -6 + 5w = (9 * 2 + w * 2) -6 + 5w = (18 + 2w) Solving -6 + 5w = 18 + 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 + 5w + -2w = 18 + 2w + -2w Combine like terms: 5w + -2w = 3w -6 + 3w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + 3w = 18 + 0 -6 + 3w = 18 Add '6' to each side of the equation. -6 + 6 + 3w = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 3w = 18 + 6 3w = 18 + 6 Combine like terms: 18 + 6 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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