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Simplifying -5(w + 9) + -1(5 + 4w) = -10w Reorder the terms: -5(9 + w) + -1(5 + 4w) = -10w (9 * -5 + w * -5) + -1(5 + 4w) = -10w (-45 + -5w) + -1(5 + 4w) = -10w -45 + -5w + (5 * -1 + 4w * -1) = -10w -45 + -5w + (-5 + -4w) = -10w Reorder the terms: -45 + -5 + -5w + -4w = -10w Combine like terms: -45 + -5 = -50 -50 + -5w + -4w = -10w Combine like terms: -5w + -4w = -9w -50 + -9w = -10w Solving -50 + -9w = -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. -50 + -9w + 10w = -10w + 10w Combine like terms: -9w + 10w = 1w -50 + 1w = -10w + 10w Combine like terms: -10w + 10w = 0 -50 + 1w = 0 Add '50' to each side of the equation. -50 + 50 + 1w = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 1w = 0 + 50 1w = 0 + 50 Combine like terms: 0 + 50 = 50 1w = 50 Divide each side by '1'. w = 50 Simplifying w = 50
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