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Simplifying 6w + -5 = 9w + 7 Reorder the terms: -5 + 6w = 9w + 7 Reorder the terms: -5 + 6w = 7 + 9w Solving -5 + 6w = 7 + 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. -5 + 6w + -9w = 7 + 9w + -9w Combine like terms: 6w + -9w = -3w -5 + -3w = 7 + 9w + -9w Combine like terms: 9w + -9w = 0 -5 + -3w = 7 + 0 -5 + -3w = 7 Add '5' to each side of the equation. -5 + 5 + -3w = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -3w = 7 + 5 -3w = 7 + 5 Combine like terms: 7 + 5 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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