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Simplifying 6w + -13 = 8w + 15 Reorder the terms: -13 + 6w = 8w + 15 Reorder the terms: -13 + 6w = 15 + 8w Solving -13 + 6w = 15 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -13 + 6w + -8w = 15 + 8w + -8w Combine like terms: 6w + -8w = -2w -13 + -2w = 15 + 8w + -8w Combine like terms: 8w + -8w = 0 -13 + -2w = 15 + 0 -13 + -2w = 15 Add '13' to each side of the equation. -13 + 13 + -2w = 15 + 13 Combine like terms: -13 + 13 = 0 0 + -2w = 15 + 13 -2w = 15 + 13 Combine like terms: 15 + 13 = 28 -2w = 28 Divide each side by '-2'. w = -14 Simplifying w = -14
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