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Simplifying 9 = -7 + 12w + -6 Reorder the terms: 9 = -7 + -6 + 12w Combine like terms: -7 + -6 = -13 9 = -13 + 12w Solving 9 = -13 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 9 + -12w = -13 + 12w + -12w Combine like terms: 12w + -12w = 0 9 + -12w = -13 + 0 9 + -12w = -13 Add '-9' to each side of the equation. 9 + -9 + -12w = -13 + -9 Combine like terms: 9 + -9 = 0 0 + -12w = -13 + -9 -12w = -13 + -9 Combine like terms: -13 + -9 = -22 -12w = -22 Divide each side by '-12'. w = 1.833333333 Simplifying w = 1.833333333
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