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Simplifying 6(w + -5) = -8w + 26 Reorder the terms: 6(-5 + w) = -8w + 26 (-5 * 6 + w * 6) = -8w + 26 (-30 + 6w) = -8w + 26 Reorder the terms: -30 + 6w = 26 + -8w Solving -30 + 6w = 26 + -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 = 26 + -8w + 8w Combine like terms: 6w + 8w = 14w -30 + 14w = 26 + -8w + 8w Combine like terms: -8w + 8w = 0 -30 + 14w = 26 + 0 -30 + 14w = 26 Add '30' to each side of the equation. -30 + 30 + 14w = 26 + 30 Combine like terms: -30 + 30 = 0 0 + 14w = 26 + 30 14w = 26 + 30 Combine like terms: 26 + 30 = 56 14w = 56 Divide each side by '14'. w = 4 Simplifying w = 4
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