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Simplifying -20(w + -5) + 5(4w + -6) = -1w + -1(5w + 50) Reorder the terms: -20(-5 + w) + 5(4w + -6) = -1w + -1(5w + 50) (-5 * -20 + w * -20) + 5(4w + -6) = -1w + -1(5w + 50) (100 + -20w) + 5(4w + -6) = -1w + -1(5w + 50) Reorder the terms: 100 + -20w + 5(-6 + 4w) = -1w + -1(5w + 50) 100 + -20w + (-6 * 5 + 4w * 5) = -1w + -1(5w + 50) 100 + -20w + (-30 + 20w) = -1w + -1(5w + 50) Reorder the terms: 100 + -30 + -20w + 20w = -1w + -1(5w + 50) Combine like terms: 100 + -30 = 70 70 + -20w + 20w = -1w + -1(5w + 50) Combine like terms: -20w + 20w = 0 70 + 0 = -1w + -1(5w + 50) 70 = -1w + -1(5w + 50) Reorder the terms: 70 = -1w + -1(50 + 5w) 70 = -1w + (50 * -1 + 5w * -1) 70 = -1w + (-50 + -5w) Reorder the terms: 70 = -50 + -1w + -5w Combine like terms: -1w + -5w = -6w 70 = -50 + -6w Solving 70 = -50 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 70 + 6w = -50 + -6w + 6w Combine like terms: -6w + 6w = 0 70 + 6w = -50 + 0 70 + 6w = -50 Add '-70' to each side of the equation. 70 + -70 + 6w = -50 + -70 Combine like terms: 70 + -70 = 0 0 + 6w = -50 + -70 6w = -50 + -70 Combine like terms: -50 + -70 = -120 6w = -120 Divide each side by '6'. w = -20 Simplifying w = -20
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