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Simplifying 2 + -7 = -5 + -7 + 6w Combine like terms: 2 + -7 = -5 -5 = -5 + -7 + 6w Combine like terms: -5 + -7 = -12 -5 = -12 + 6w Solving -5 = -12 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -5 + -6w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 -5 + -6w = -12 + 0 -5 + -6w = -12 Add '5' to each side of the equation. -5 + 5 + -6w = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -6w = -12 + 5 -6w = -12 + 5 Combine like terms: -12 + 5 = -7 -6w = -7 Divide each side by '-6'. w = 1.166666667 Simplifying w = 1.166666667
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