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Simplifying 14 + -7w = (3w + 9) Reorder the terms: 14 + -7w = (9 + 3w) Remove parenthesis around (9 + 3w) 14 + -7w = 9 + 3w Solving 14 + -7w = 9 + 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. 14 + -7w + -3w = 9 + 3w + -3w Combine like terms: -7w + -3w = -10w 14 + -10w = 9 + 3w + -3w Combine like terms: 3w + -3w = 0 14 + -10w = 9 + 0 14 + -10w = 9 Add '-14' to each side of the equation. 14 + -14 + -10w = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -10w = 9 + -14 -10w = 9 + -14 Combine like terms: 9 + -14 = -5 -10w = -5 Divide each side by '-10'. w = 0.5 Simplifying w = 0.5
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