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Simplifying 2(3w + -7) = w + 11 Reorder the terms: 2(-7 + 3w) = w + 11 (-7 * 2 + 3w * 2) = w + 11 (-14 + 6w) = w + 11 Reorder the terms: -14 + 6w = 11 + w Solving -14 + 6w = 11 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -14 + 6w + -1w = 11 + w + -1w Combine like terms: 6w + -1w = 5w -14 + 5w = 11 + w + -1w Combine like terms: w + -1w = 0 -14 + 5w = 11 + 0 -14 + 5w = 11 Add '14' to each side of the equation. -14 + 14 + 5w = 11 + 14 Combine like terms: -14 + 14 = 0 0 + 5w = 11 + 14 5w = 11 + 14 Combine like terms: 11 + 14 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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