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Simplifying 11 + -3(w + 2) = 7 + -1(4w + 5) Reorder the terms: 11 + -3(2 + w) = 7 + -1(4w + 5) 11 + (2 * -3 + w * -3) = 7 + -1(4w + 5) 11 + (-6 + -3w) = 7 + -1(4w + 5) Combine like terms: 11 + -6 = 5 5 + -3w = 7 + -1(4w + 5) Reorder the terms: 5 + -3w = 7 + -1(5 + 4w) 5 + -3w = 7 + (5 * -1 + 4w * -1) 5 + -3w = 7 + (-5 + -4w) Combine like terms: 7 + -5 = 2 5 + -3w = 2 + -4w Solving 5 + -3w = 2 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 5 + -3w + 4w = 2 + -4w + 4w Combine like terms: -3w + 4w = 1w 5 + 1w = 2 + -4w + 4w Combine like terms: -4w + 4w = 0 5 + 1w = 2 + 0 5 + 1w = 2 Add '-5' to each side of the equation. 5 + -5 + 1w = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1w = 2 + -5 1w = 2 + -5 Combine like terms: 2 + -5 = -3 1w = -3 Divide each side by '1'. w = -3 Simplifying w = -3
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