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Simplifying w + -7 + 2(2w + 9) = -4(w + 1) Reorder the terms: w + -7 + 2(9 + 2w) = -4(w + 1) w + -7 + (9 * 2 + 2w * 2) = -4(w + 1) w + -7 + (18 + 4w) = -4(w + 1) Reorder the terms: -7 + 18 + w + 4w = -4(w + 1) Combine like terms: -7 + 18 = 11 11 + w + 4w = -4(w + 1) Combine like terms: w + 4w = 5w 11 + 5w = -4(w + 1) Reorder the terms: 11 + 5w = -4(1 + w) 11 + 5w = (1 * -4 + w * -4) 11 + 5w = (-4 + -4w) Solving 11 + 5w = -4 + -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. 11 + 5w + 4w = -4 + -4w + 4w Combine like terms: 5w + 4w = 9w 11 + 9w = -4 + -4w + 4w Combine like terms: -4w + 4w = 0 11 + 9w = -4 + 0 11 + 9w = -4 Add '-11' to each side of the equation. 11 + -11 + 9w = -4 + -11 Combine like terms: 11 + -11 = 0 0 + 9w = -4 + -11 9w = -4 + -11 Combine like terms: -4 + -11 = -15 9w = -15 Divide each side by '9'. w = -1.666666667 Simplifying w = -1.666666667
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