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Simplifying 5(w + 6) + -1(-9w + -4) = 13w Reorder the terms: 5(6 + w) + -1(-9w + -4) = 13w (6 * 5 + w * 5) + -1(-9w + -4) = 13w (30 + 5w) + -1(-9w + -4) = 13w Reorder the terms: 30 + 5w + -1(-4 + -9w) = 13w 30 + 5w + (-4 * -1 + -9w * -1) = 13w 30 + 5w + (4 + 9w) = 13w Reorder the terms: 30 + 4 + 5w + 9w = 13w Combine like terms: 30 + 4 = 34 34 + 5w + 9w = 13w Combine like terms: 5w + 9w = 14w 34 + 14w = 13w Solving 34 + 14w = 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 34 + 14w + -13w = 13w + -13w Combine like terms: 14w + -13w = 1w 34 + 1w = 13w + -13w Combine like terms: 13w + -13w = 0 34 + 1w = 0 Add '-34' to each side of the equation. 34 + -34 + 1w = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 1w = 0 + -34 1w = 0 + -34 Combine like terms: 0 + -34 = -34 1w = -34 Divide each side by '1'. w = -34 Simplifying w = -34
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