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Simplifying 48 = 44 + -2(3 + -1w) 48 = 44 + (3 * -2 + -1w * -2) 48 = 44 + (-6 + 2w) Combine like terms: 44 + -6 = 38 48 = 38 + 2w Solving 48 = 38 + 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 = 38 + 2w + -2w Combine like terms: 2w + -2w = 0 48 + -2w = 38 + 0 48 + -2w = 38 Add '-48' to each side of the equation. 48 + -48 + -2w = 38 + -48 Combine like terms: 48 + -48 = 0 0 + -2w = 38 + -48 -2w = 38 + -48 Combine like terms: 38 + -48 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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