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Simplifying -2(19w + -13) = -6(6w + -6) Reorder the terms: -2(-13 + 19w) = -6(6w + -6) (-13 * -2 + 19w * -2) = -6(6w + -6) (26 + -38w) = -6(6w + -6) Reorder the terms: 26 + -38w = -6(-6 + 6w) 26 + -38w = (-6 * -6 + 6w * -6) 26 + -38w = (36 + -36w) Solving 26 + -38w = 36 + -36w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '36w' to each side of the equation. 26 + -38w + 36w = 36 + -36w + 36w Combine like terms: -38w + 36w = -2w 26 + -2w = 36 + -36w + 36w Combine like terms: -36w + 36w = 0 26 + -2w = 36 + 0 26 + -2w = 36 Add '-26' to each side of the equation. 26 + -26 + -2w = 36 + -26 Combine like terms: 26 + -26 = 0 0 + -2w = 36 + -26 -2w = 36 + -26 Combine like terms: 36 + -26 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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