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Simplifying 8w + -5 = 6w + 13 Reorder the terms: -5 + 8w = 6w + 13 Reorder the terms: -5 + 8w = 13 + 6w Solving -5 + 8w = 13 + 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. -5 + 8w + -6w = 13 + 6w + -6w Combine like terms: 8w + -6w = 2w -5 + 2w = 13 + 6w + -6w Combine like terms: 6w + -6w = 0 -5 + 2w = 13 + 0 -5 + 2w = 13 Add '5' to each side of the equation. -5 + 5 + 2w = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 2w = 13 + 5 2w = 13 + 5 Combine like terms: 13 + 5 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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