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Simplifying w + 4(7w + 1) + 24 = 0 Reorder the terms: w + 4(1 + 7w) + 24 = 0 w + (1 * 4 + 7w * 4) + 24 = 0 w + (4 + 28w) + 24 = 0 Reorder the terms: 4 + 24 + w + 28w = 0 Combine like terms: 4 + 24 = 28 28 + w + 28w = 0 Combine like terms: w + 28w = 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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