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Simplifying 8w + 15 = 6w + 13 Reorder the terms: 15 + 8w = 6w + 13 Reorder the terms: 15 + 8w = 13 + 6w Solving 15 + 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. 15 + 8w + -6w = 13 + 6w + -6w Combine like terms: 8w + -6w = 2w 15 + 2w = 13 + 6w + -6w Combine like terms: 6w + -6w = 0 15 + 2w = 13 + 0 15 + 2w = 13 Add '-15' to each side of the equation. 15 + -15 + 2w = 13 + -15 Combine like terms: 15 + -15 = 0 0 + 2w = 13 + -15 2w = 13 + -15 Combine like terms: 13 + -15 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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