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Simplifying -6(w + 5) = -8w + -38 Reorder the terms: -6(5 + w) = -8w + -38 (5 * -6 + w * -6) = -8w + -38 (-30 + -6w) = -8w + -38 Reorder the terms: -30 + -6w = -38 + -8w Solving -30 + -6w = -38 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -30 + -6w + 8w = -38 + -8w + 8w Combine like terms: -6w + 8w = 2w -30 + 2w = -38 + -8w + 8w Combine like terms: -8w + 8w = 0 -30 + 2w = -38 + 0 -30 + 2w = -38 Add '30' to each side of the equation. -30 + 30 + 2w = -38 + 30 Combine like terms: -30 + 30 = 0 0 + 2w = -38 + 30 2w = -38 + 30 Combine like terms: -38 + 30 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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