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Simplifying 1 + -3w = 9w + 7 Reorder the terms: 1 + -3w = 7 + 9w Solving 1 + -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. 1 + -3w + -9w = 7 + 9w + -9w Combine like terms: -3w + -9w = -12w 1 + -12w = 7 + 9w + -9w Combine like terms: 9w + -9w = 0 1 + -12w = 7 + 0 1 + -12w = 7 Add '-1' to each side of the equation. 1 + -1 + -12w = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -12w = 7 + -1 -12w = 7 + -1 Combine like terms: 7 + -1 = 6 -12w = 6 Divide each side by '-12'. w = -0.5 Simplifying w = -0.5
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