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Simplifying -4w + -3(w + -3) = 2 + -1(9w + -3) Reorder the terms: -4w + -3(-3 + w) = 2 + -1(9w + -3) -4w + (-3 * -3 + w * -3) = 2 + -1(9w + -3) -4w + (9 + -3w) = 2 + -1(9w + -3) Reorder the terms: 9 + -4w + -3w = 2 + -1(9w + -3) Combine like terms: -4w + -3w = -7w 9 + -7w = 2 + -1(9w + -3) Reorder the terms: 9 + -7w = 2 + -1(-3 + 9w) 9 + -7w = 2 + (-3 * -1 + 9w * -1) 9 + -7w = 2 + (3 + -9w) Combine like terms: 2 + 3 = 5 9 + -7w = 5 + -9w Solving 9 + -7w = 5 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 9 + -7w + 9w = 5 + -9w + 9w Combine like terms: -7w + 9w = 2w 9 + 2w = 5 + -9w + 9w Combine like terms: -9w + 9w = 0 9 + 2w = 5 + 0 9 + 2w = 5 Add '-9' to each side of the equation. 9 + -9 + 2w = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 2w = 5 + -9 2w = 5 + -9 Combine like terms: 5 + -9 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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