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Simplifying 6w + -11 = 3w + 1 Reorder the terms: -11 + 6w = 3w + 1 Reorder the terms: -11 + 6w = 1 + 3w Solving -11 + 6w = 1 + 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. -11 + 6w + -3w = 1 + 3w + -3w Combine like terms: 6w + -3w = 3w -11 + 3w = 1 + 3w + -3w Combine like terms: 3w + -3w = 0 -11 + 3w = 1 + 0 -11 + 3w = 1 Add '11' to each side of the equation. -11 + 11 + 3w = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 3w = 1 + 11 3w = 1 + 11 Combine like terms: 1 + 11 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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