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Simplifying 3(w + -2) = 1 + 2w Reorder the terms: 3(-2 + w) = 1 + 2w (-2 * 3 + w * 3) = 1 + 2w (-6 + 3w) = 1 + 2w Solving -6 + 3w = 1 + 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 + 3w + -2w = 1 + 2w + -2w Combine like terms: 3w + -2w = 1w -6 + 1w = 1 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + 1w = 1 + 0 -6 + 1w = 1 Add '6' to each side of the equation. -6 + 6 + 1w = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1w = 1 + 6 1w = 1 + 6 Combine like terms: 1 + 6 = 7 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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