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Simplifying 2(2 + 3w) = -3w + 5 (2 * 2 + 3w * 2) = -3w + 5 (4 + 6w) = -3w + 5 Reorder the terms: 4 + 6w = 5 + -3w Solving 4 + 6w = 5 + -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. 4 + 6w + 3w = 5 + -3w + 3w Combine like terms: 6w + 3w = 9w 4 + 9w = 5 + -3w + 3w Combine like terms: -3w + 3w = 0 4 + 9w = 5 + 0 4 + 9w = 5 Add '-4' to each side of the equation. 4 + -4 + 9w = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 9w = 5 + -4 9w = 5 + -4 Combine like terms: 5 + -4 = 1 9w = 1 Divide each side by '9'. w = 0.1111111111 Simplifying w = 0.1111111111
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