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Simplifying 3(w + -1) + 4 = 1 + -2w Reorder the terms: 3(-1 + w) + 4 = 1 + -2w (-1 * 3 + w * 3) + 4 = 1 + -2w (-3 + 3w) + 4 = 1 + -2w Reorder the terms: -3 + 4 + 3w = 1 + -2w Combine like terms: -3 + 4 = 1 1 + 3w = 1 + -2w Add '-1' to each side of the equation. 1 + -1 + 3w = 1 + -1 + -2w Combine like terms: 1 + -1 = 0 0 + 3w = 1 + -1 + -2w 3w = 1 + -1 + -2w Combine like terms: 1 + -1 = 0 3w = 0 + -2w 3w = -2w Solving 3w = -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. 3w + 2w = -2w + 2w Combine like terms: 3w + 2w = 5w 5w = -2w + 2w Combine like terms: -2w + 2w = 0 5w = 0 Divide each side by '5'. w = 0 Simplifying w = 0
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