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Simplifying 11 + -1(2 + 3) = -2(w + -4) Combine like terms: 2 + 3 = 5 11 + -1(5) = -2(w + -4) Multiply -1 * 5 11 + -5 = -2(w + -4) Combine like terms: 11 + -5 = 6 6 = -2(w + -4) Reorder the terms: 6 = -2(-4 + w) 6 = (-4 * -2 + w * -2) 6 = (8 + -2w) Solving 6 = 8 + -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 + 2w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + 2w = 8 + 0 6 + 2w = 8 Add '-6' to each side of the equation. 6 + -6 + 2w = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 2w = 8 + -6 2w = 8 + -6 Combine like terms: 8 + -6 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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