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Simplifying 7w + 2(9 + -3w) = -5 7w + (9 * 2 + -3w * 2) = -5 7w + (18 + -6w) = -5 Reorder the terms: 18 + 7w + -6w = -5 Combine like terms: 7w + -6w = 1w 18 + 1w = -5 Solving 18 + 1w = -5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1w = -5 + -18 Combine like terms: 18 + -18 = 0 0 + 1w = -5 + -18 1w = -5 + -18 Combine like terms: -5 + -18 = -23 1w = -23 Divide each side by '1'. w = -23 Simplifying w = -23
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