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Simplifying 11 + -1(w + 6) + 4w + 4w + 4 = w + 3 Reorder the terms: 11 + -1(6 + w) + 4w + 4w + 4 = w + 3 11 + (6 * -1 + w * -1) + 4w + 4w + 4 = w + 3 11 + (-6 + -1w) + 4w + 4w + 4 = w + 3 Reorder the terms: 11 + -6 + 4 + -1w + 4w + 4w = w + 3 Combine like terms: 11 + -6 = 5 5 + 4 + -1w + 4w + 4w = w + 3 Combine like terms: 5 + 4 = 9 9 + -1w + 4w + 4w = w + 3 Combine like terms: -1w + 4w = 3w 9 + 3w + 4w = w + 3 Combine like terms: 3w + 4w = 7w 9 + 7w = w + 3 Reorder the terms: 9 + 7w = 3 + w Solving 9 + 7w = 3 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 9 + 7w + -1w = 3 + w + -1w Combine like terms: 7w + -1w = 6w 9 + 6w = 3 + w + -1w Combine like terms: w + -1w = 0 9 + 6w = 3 + 0 9 + 6w = 3 Add '-9' to each side of the equation. 9 + -9 + 6w = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 6w = 3 + -9 6w = 3 + -9 Combine like terms: 3 + -9 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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