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Simplifying 4w + -3 = 2(9 + w) Reorder the terms: -3 + 4w = 2(9 + w) -3 + 4w = (9 * 2 + w * 2) -3 + 4w = (18 + 2w) Solving -3 + 4w = 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. -3 + 4w + -2w = 18 + 2w + -2w Combine like terms: 4w + -2w = 2w -3 + 2w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + 2w = 18 + 0 -3 + 2w = 18 Add '3' to each side of the equation. -3 + 3 + 2w = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = 18 + 3 2w = 18 + 3 Combine like terms: 18 + 3 = 21 2w = 21 Divide each side by '2'. w = 10.5 Simplifying w = 10.5
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