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Simplifying [2w + 1] = 3w + -2 Reorder the terms: [1 + 2w] = 3w + -2 Remove brackets around [1 + 2w] 1 + 2w = 3w + -2 Reorder the terms: 1 + 2w = -2 + 3w Solving 1 + 2w = -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 + 2w + -3w = -2 + 3w + -3w Combine like terms: 2w + -3w = -1w 1 + -1w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 1 + -1w = -2 + 0 1 + -1w = -2 Add '-1' to each side of the equation. 1 + -1 + -1w = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = -2 + -1 -1w = -2 + -1 Combine like terms: -2 + -1 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3
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