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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 = 2w 40 + 2w = 30 + 6w + -6w Combine like terms: 6w + -6w = 0 40 + 2w = 30 + 0 40 + 2w = 30 Add '-40' to each side of the equation. 40 + -40 + 2w = 30 + -40 Combine like terms: 40 + -40 = 0 0 + 2w = 30 + -40 2w = 30 + -40 Combine like terms: 30 + -40 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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