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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 Combine like terms: 6w + -8w = -2w -30 + -2w = -26 Solving -30 + -2w = -26 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -2w = -26 + 30 Combine like terms: -30 + 30 = 0 0 + -2w = -26 + 30 -2w = -26 + 30 Combine like terms: -26 + 30 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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