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Simplifying 6(3 + w) + 3w + 5(4w + 2) = 0 (3 * 6 + w * 6) + 3w + 5(4w + 2) = 0 (18 + 6w) + 3w + 5(4w + 2) = 0 Reorder the terms: 18 + 6w + 3w + 5(2 + 4w) = 0 18 + 6w + 3w + (2 * 5 + 4w * 5) = 0 18 + 6w + 3w + (10 + 20w) = 0 Reorder the terms: 18 + 10 + 6w + 3w + 20w = 0 Combine like terms: 18 + 10 = 28 28 + 6w + 3w + 20w = 0 Combine like terms: 6w + 3w = 9w 28 + 9w + 20w = 0 Combine like terms: 9w + 20w = 29w 28 + 29w = 0 Solving 28 + 29w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 29w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 29w = 0 + -28 29w = 0 + -28 Combine like terms: 0 + -28 = -28 29w = -28 Divide each side by '29'. w = -0.9655172414 Simplifying w = -0.9655172414
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