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Simplifying 8 + -7(2 + -3w) + -9w = 0 8 + (2 * -7 + -3w * -7) + -9w = 0 8 + (-14 + 21w) + -9w = 0 Combine like terms: 8 + -14 = -6 -6 + 21w + -9w = 0 Combine like terms: 21w + -9w = 12w -6 + 12w = 0 Solving -6 + 12w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 12w = 0 + 6 12w = 0 + 6 Combine like terms: 0 + 6 = 6 12w = 6 Divide each side by '12'. w = 0.5 Simplifying w = 0.5
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