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Simplifying 5(w + 8) = -4(3w + -7) + 3w Reorder the terms: 5(8 + w) = -4(3w + -7) + 3w (8 * 5 + w * 5) = -4(3w + -7) + 3w (40 + 5w) = -4(3w + -7) + 3w Reorder the terms: 40 + 5w = -4(-7 + 3w) + 3w 40 + 5w = (-7 * -4 + 3w * -4) + 3w 40 + 5w = (28 + -12w) + 3w Combine like terms: -12w + 3w = -9w 40 + 5w = 28 + -9w Solving 40 + 5w = 28 + -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 = 28 + -9w + 9w Combine like terms: 5w + 9w = 14w 40 + 14w = 28 + -9w + 9w Combine like terms: -9w + 9w = 0 40 + 14w = 28 + 0 40 + 14w = 28 Add '-40' to each side of the equation. 40 + -40 + 14w = 28 + -40 Combine like terms: 40 + -40 = 0 0 + 14w = 28 + -40 14w = 28 + -40 Combine like terms: 28 + -40 = -12 14w = -12 Divide each side by '14'. w = -0.8571428571 Simplifying w = -0.8571428571
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