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Simplifying 5 + -3w = 9w + 7 Reorder the terms: 5 + -3w = 7 + 9w Solving 5 + -3w = 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 + -3w + -9w = 7 + 9w + -9w Combine like terms: -3w + -9w = -12w 5 + -12w = 7 + 9w + -9w Combine like terms: 9w + -9w = 0 5 + -12w = 7 + 0 5 + -12w = 7 Add '-5' to each side of the equation. 5 + -5 + -12w = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -12w = 7 + -5 -12w = 7 + -5 Combine like terms: 7 + -5 = 2 -12w = 2 Divide each side by '-12'. w = -0.1666666667 Simplifying w = -0.1666666667
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