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Simplifying 2(w + 6) + -3(-1w + -5) = 0 Reorder the terms: 2(6 + w) + -3(-1w + -5) = 0 (6 * 2 + w * 2) + -3(-1w + -5) = 0 (12 + 2w) + -3(-1w + -5) = 0 Reorder the terms: 12 + 2w + -3(-5 + -1w) = 0 12 + 2w + (-5 * -3 + -1w * -3) = 0 12 + 2w + (15 + 3w) = 0 Reorder the terms: 12 + 15 + 2w + 3w = 0 Combine like terms: 12 + 15 = 27 27 + 2w + 3w = 0 Combine like terms: 2w + 3w = 5w 27 + 5w = 0 Solving 27 + 5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 5w = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 5w = 0 + -27 5w = 0 + -27 Combine like terms: 0 + -27 = -27 5w = -27 Divide each side by '5'. w = -5.4 Simplifying w = -5.4
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