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Simplifying 6w + 30 = -8(w + -9) Reorder the terms: 30 + 6w = -8(w + -9) Reorder the terms: 30 + 6w = -8(-9 + w) 30 + 6w = (-9 * -8 + w * -8) 30 + 6w = (72 + -8w) Solving 30 + 6w = 72 + -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 = 72 + -8w + 8w Combine like terms: 6w + 8w = 14w 30 + 14w = 72 + -8w + 8w Combine like terms: -8w + 8w = 0 30 + 14w = 72 + 0 30 + 14w = 72 Add '-30' to each side of the equation. 30 + -30 + 14w = 72 + -30 Combine like terms: 30 + -30 = 0 0 + 14w = 72 + -30 14w = 72 + -30 Combine like terms: 72 + -30 = 42 14w = 42 Divide each side by '14'. w = 3 Simplifying w = 3
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