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Simplifying 6w + 14 = 7w + 2w + -13 Reorder the terms: 14 + 6w = 7w + 2w + -13 Reorder the terms: 14 + 6w = -13 + 7w + 2w Combine like terms: 7w + 2w = 9w 14 + 6w = -13 + 9w Solving 14 + 6w = -13 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 14 + 6w + -9w = -13 + 9w + -9w Combine like terms: 6w + -9w = -3w 14 + -3w = -13 + 9w + -9w Combine like terms: 9w + -9w = 0 14 + -3w = -13 + 0 14 + -3w = -13 Add '-14' to each side of the equation. 14 + -14 + -3w = -13 + -14 Combine like terms: 14 + -14 = 0 0 + -3w = -13 + -14 -3w = -13 + -14 Combine like terms: -13 + -14 = -27 -3w = -27 Divide each side by '-3'. w = 9 Simplifying w = 9
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