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Simplifying 8(w + 5) = -6w + -30 Reorder the terms: 8(5 + w) = -6w + -30 (5 * 8 + w * 8) = -6w + -30 (40 + 8w) = -6w + -30 Reorder the terms: 40 + 8w = -30 + -6w Solving 40 + 8w = -30 + -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. 40 + 8w + 6w = -30 + -6w + 6w Combine like terms: 8w + 6w = 14w 40 + 14w = -30 + -6w + 6w Combine like terms: -6w + 6w = 0 40 + 14w = -30 + 0 40 + 14w = -30 Add '-40' to each side of the equation. 40 + -40 + 14w = -30 + -40 Combine like terms: 40 + -40 = 0 0 + 14w = -30 + -40 14w = -30 + -40 Combine like terms: -30 + -40 = -70 14w = -70 Divide each side by '14'. w = -5 Simplifying w = -5
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