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Simplifying 7w + 5(4w + 2) + 2 = 0 Reorder the terms: 7w + 5(2 + 4w) + 2 = 0 7w + (2 * 5 + 4w * 5) + 2 = 0 7w + (10 + 20w) + 2 = 0 Reorder the terms: 10 + 2 + 7w + 20w = 0 Combine like terms: 10 + 2 = 12 12 + 7w + 20w = 0 Combine like terms: 7w + 20w = 27w 12 + 27w = 0 Solving 12 + 27w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 27w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 27w = 0 + -12 27w = 0 + -12 Combine like terms: 0 + -12 = -12 27w = -12 Divide each side by '27'. w = -0.4444444444 Simplifying w = -0.4444444444
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