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Simplifying 3w + -9 + 3(3w + 1) = -2(w + 2) Reorder the terms: 3w + -9 + 3(1 + 3w) = -2(w + 2) 3w + -9 + (1 * 3 + 3w * 3) = -2(w + 2) 3w + -9 + (3 + 9w) = -2(w + 2) Reorder the terms: -9 + 3 + 3w + 9w = -2(w + 2) Combine like terms: -9 + 3 = -6 -6 + 3w + 9w = -2(w + 2) Combine like terms: 3w + 9w = 12w -6 + 12w = -2(w + 2) Reorder the terms: -6 + 12w = -2(2 + w) -6 + 12w = (2 * -2 + w * -2) -6 + 12w = (-4 + -2w) Solving -6 + 12w = -4 + -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 + 12w + 2w = -4 + -2w + 2w Combine like terms: 12w + 2w = 14w -6 + 14w = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 -6 + 14w = -4 + 0 -6 + 14w = -4 Add '6' to each side of the equation. -6 + 6 + 14w = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 14w = -4 + 6 14w = -4 + 6 Combine like terms: -4 + 6 = 2 14w = 2 Divide each side by '14'. w = 0.1428571429 Simplifying w = 0.1428571429
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