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Simplifying [12w + 1] = 3w + -2 Reorder the terms: [1 + 12w] = 3w + -2 Remove brackets around [1 + 12w] 1 + 12w = 3w + -2 Reorder the terms: 1 + 12w = -2 + 3w Solving 1 + 12w = -2 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 1 + 12w + -3w = -2 + 3w + -3w Combine like terms: 12w + -3w = 9w 1 + 9w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 1 + 9w = -2 + 0 1 + 9w = -2 Add '-1' to each side of the equation. 1 + -1 + 9w = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 9w = -2 + -1 9w = -2 + -1 Combine like terms: -2 + -1 = -3 9w = -3 Divide each side by '9'. w = -0.3333333333 Simplifying w = -0.3333333333
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