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Simplifying 5(w + 8) = -5(3w + -6) + 6w Reorder the terms: 5(8 + w) = -5(3w + -6) + 6w (8 * 5 + w * 5) = -5(3w + -6) + 6w (40 + 5w) = -5(3w + -6) + 6w Reorder the terms: 40 + 5w = -5(-6 + 3w) + 6w 40 + 5w = (-6 * -5 + 3w * -5) + 6w 40 + 5w = (30 + -15w) + 6w Combine like terms: -15w + 6w = -9w 40 + 5w = 30 + -9w Solving 40 + 5w = 30 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 40 + 5w + 9w = 30 + -9w + 9w Combine like terms: 5w + 9w = 14w 40 + 14w = 30 + -9w + 9w Combine like terms: -9w + 9w = 0 40 + 14w = 30 + 0 40 + 14w = 30 Add '-40' to each side of the equation. 40 + -40 + 14w = 30 + -40 Combine like terms: 40 + -40 = 0 0 + 14w = 30 + -40 14w = 30 + -40 Combine like terms: 30 + -40 = -10 14w = -10 Divide each side by '14'. w = -0.7142857143 Simplifying w = -0.7142857143
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