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Simplifying 6w + -6 = 9w + 15 Reorder the terms: -6 + 6w = 9w + 15 Reorder the terms: -6 + 6w = 15 + 9w Solving -6 + 6w = 15 + 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. -6 + 6w + -9w = 15 + 9w + -9w Combine like terms: 6w + -9w = -3w -6 + -3w = 15 + 9w + -9w Combine like terms: 9w + -9w = 0 -6 + -3w = 15 + 0 -6 + -3w = 15 Add '6' to each side of the equation. -6 + 6 + -3w = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = 15 + 6 -3w = 15 + 6 Combine like terms: 15 + 6 = 21 -3w = 21 Divide each side by '-3'. w = -7 Simplifying w = -7
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