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Simplifying 6w + -15 = 9w + 8 Reorder the terms: -15 + 6w = 9w + 8 Reorder the terms: -15 + 6w = 8 + 9w Solving -15 + 6w = 8 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -15 + 6w + -9w = 8 + 9w + -9w Combine like terms: 6w + -9w = -3w -15 + -3w = 8 + 9w + -9w Combine like terms: 9w + -9w = 0 -15 + -3w = 8 + 0 -15 + -3w = 8 Add '15' to each side of the equation. -15 + 15 + -3w = 8 + 15 Combine like terms: -15 + 15 = 0 0 + -3w = 8 + 15 -3w = 8 + 15 Combine like terms: 8 + 15 = 23 -3w = 23 Divide each side by '-3'. w = -7.666666667 Simplifying w = -7.666666667
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