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Simplifying -5(w + 5) + -1(4w + -6) = -10w Reorder the terms: -5(5 + w) + -1(4w + -6) = -10w (5 * -5 + w * -5) + -1(4w + -6) = -10w (-25 + -5w) + -1(4w + -6) = -10w Reorder the terms: -25 + -5w + -1(-6 + 4w) = -10w -25 + -5w + (-6 * -1 + 4w * -1) = -10w -25 + -5w + (6 + -4w) = -10w Reorder the terms: -25 + 6 + -5w + -4w = -10w Combine like terms: -25 + 6 = -19 -19 + -5w + -4w = -10w Combine like terms: -5w + -4w = -9w -19 + -9w = -10w Solving -19 + -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. -19 + -9w + 10w = -10w + 10w Combine like terms: -9w + 10w = 1w -19 + 1w = -10w + 10w Combine like terms: -10w + 10w = 0 -19 + 1w = 0 Add '19' to each side of the equation. -19 + 19 + 1w = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1w = 0 + 19 1w = 0 + 19 Combine like terms: 0 + 19 = 19 1w = 19 Divide each side by '1'. w = 19 Simplifying w = 19
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