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Simplifying -79w + -20 = 5(3 + -1w) Reorder the terms: -20 + -79w = 5(3 + -1w) -20 + -79w = (3 * 5 + -1w * 5) -20 + -79w = (15 + -5w) Solving -20 + -79w = 15 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -20 + -79w + 5w = 15 + -5w + 5w Combine like terms: -79w + 5w = -74w -20 + -74w = 15 + -5w + 5w Combine like terms: -5w + 5w = 0 -20 + -74w = 15 + 0 -20 + -74w = 15 Add '20' to each side of the equation. -20 + 20 + -74w = 15 + 20 Combine like terms: -20 + 20 = 0 0 + -74w = 15 + 20 -74w = 15 + 20 Combine like terms: 15 + 20 = 35 -74w = 35 Divide each side by '-74'. w = -0.472972973 Simplifying w = -0.472972973
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