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Simplifying 12w + -7 = 5w + -11 Reorder the terms: -7 + 12w = 5w + -11 Reorder the terms: -7 + 12w = -11 + 5w Solving -7 + 12w = -11 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -7 + 12w + -5w = -11 + 5w + -5w Combine like terms: 12w + -5w = 7w -7 + 7w = -11 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + 7w = -11 + 0 -7 + 7w = -11 Add '7' to each side of the equation. -7 + 7 + 7w = -11 + 7 Combine like terms: -7 + 7 = 0 0 + 7w = -11 + 7 7w = -11 + 7 Combine like terms: -11 + 7 = -4 7w = -4 Divide each side by '7'. w = -0.5714285714 Simplifying w = -0.5714285714
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