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Simplifying 8(w + 5) = 6w + 36 Reorder the terms: 8(5 + w) = 6w + 36 (5 * 8 + w * 8) = 6w + 36 (40 + 8w) = 6w + 36 Reorder the terms: 40 + 8w = 36 + 6w Solving 40 + 8w = 36 + 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 = 36 + 6w + -6w Combine like terms: 8w + -6w = 2w 40 + 2w = 36 + 6w + -6w Combine like terms: 6w + -6w = 0 40 + 2w = 36 + 0 40 + 2w = 36 Add '-40' to each side of the equation. 40 + -40 + 2w = 36 + -40 Combine like terms: 40 + -40 = 0 0 + 2w = 36 + -40 2w = 36 + -40 Combine like terms: 36 + -40 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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