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Simplifying 8w + -26 = -6(w + 9) Reorder the terms: -26 + 8w = -6(w + 9) Reorder the terms: -26 + 8w = -6(9 + w) -26 + 8w = (9 * -6 + w * -6) -26 + 8w = (-54 + -6w) Solving -26 + 8w = -54 + -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. -26 + 8w + 6w = -54 + -6w + 6w Combine like terms: 8w + 6w = 14w -26 + 14w = -54 + -6w + 6w Combine like terms: -6w + 6w = 0 -26 + 14w = -54 + 0 -26 + 14w = -54 Add '26' to each side of the equation. -26 + 26 + 14w = -54 + 26 Combine like terms: -26 + 26 = 0 0 + 14w = -54 + 26 14w = -54 + 26 Combine like terms: -54 + 26 = -28 14w = -28 Divide each side by '14'. w = -2 Simplifying w = -2
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