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Simplifying 6w + -6w + -8 = 3w + -6w + -11 Reorder the terms: -8 + 6w + -6w = 3w + -6w + -11 Combine like terms: 6w + -6w = 0 -8 + 0 = 3w + -6w + -11 -8 = 3w + -6w + -11 Reorder the terms: -8 = -11 + 3w + -6w Combine like terms: 3w + -6w = -3w -8 = -11 + -3w Solving -8 = -11 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -8 + 3w = -11 + -3w + 3w Combine like terms: -3w + 3w = 0 -8 + 3w = -11 + 0 -8 + 3w = -11 Add '8' to each side of the equation. -8 + 8 + 3w = -11 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = -11 + 8 3w = -11 + 8 Combine like terms: -11 + 8 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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