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Simplifying 4w + 6 = -9w + -45 Reorder the terms: 6 + 4w = -9w + -45 Reorder the terms: 6 + 4w = -45 + -9w Solving 6 + 4w = -45 + -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. 6 + 4w + 9w = -45 + -9w + 9w Combine like terms: 4w + 9w = 13w 6 + 13w = -45 + -9w + 9w Combine like terms: -9w + 9w = 0 6 + 13w = -45 + 0 6 + 13w = -45 Add '-6' to each side of the equation. 6 + -6 + 13w = -45 + -6 Combine like terms: 6 + -6 = 0 0 + 13w = -45 + -6 13w = -45 + -6 Combine like terms: -45 + -6 = -51 13w = -51 Divide each side by '13'. w = -3.923076923 Simplifying w = -3.923076923
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