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Simplifying 48 = 2(9 + w) 48 = (9 * 2 + w * 2) 48 = (18 + 2w) Solving 48 = 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. 48 + -2w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 48 + -2w = 18 + 0 48 + -2w = 18 Add '-48' to each side of the equation. 48 + -48 + -2w = 18 + -48 Combine like terms: 48 + -48 = 0 0 + -2w = 18 + -48 -2w = 18 + -48 Combine like terms: 18 + -48 = -30 -2w = -30 Divide each side by '-2'. w = 15 Simplifying w = 15
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