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Simplifying 2(3w + 1) = 2w + 1 + 7w Reorder the terms: 2(1 + 3w) = 2w + 1 + 7w (1 * 2 + 3w * 2) = 2w + 1 + 7w (2 + 6w) = 2w + 1 + 7w Reorder the terms: 2 + 6w = 1 + 2w + 7w Combine like terms: 2w + 7w = 9w 2 + 6w = 1 + 9w Solving 2 + 6w = 1 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 2 + 6w + -9w = 1 + 9w + -9w Combine like terms: 6w + -9w = -3w 2 + -3w = 1 + 9w + -9w Combine like terms: 9w + -9w = 0 2 + -3w = 1 + 0 2 + -3w = 1 Add '-2' to each side of the equation. 2 + -2 + -3w = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = 1 + -2 -3w = 1 + -2 Combine like terms: 1 + -2 = -1 -3w = -1 Divide each side by '-3'. w = 0.3333333333 Simplifying w = 0.3333333333
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