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Simplifying 5 + 6(w + 4) + w = 0 Reorder the terms: 5 + 6(4 + w) + w = 0 5 + (4 * 6 + w * 6) + w = 0 5 + (24 + 6w) + w = 0 Combine like terms: 5 + 24 = 29 29 + 6w + w = 0 Combine like terms: 6w + w = 7w 29 + 7w = 0 Solving 29 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 7w = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 7w = 0 + -29 7w = 0 + -29 Combine like terms: 0 + -29 = -29 7w = -29 Divide each side by '7'. w = -4.142857143 Simplifying w = -4.142857143
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