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Simplifying 34 = -2(w + 7) + 10w Reorder the terms: 34 = -2(7 + w) + 10w 34 = (7 * -2 + w * -2) + 10w 34 = (-14 + -2w) + 10w Combine like terms: -2w + 10w = 8w 34 = -14 + 8w Solving 34 = -14 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 34 + -8w = -14 + 8w + -8w Combine like terms: 8w + -8w = 0 34 + -8w = -14 + 0 34 + -8w = -14 Add '-34' to each side of the equation. 34 + -34 + -8w = -14 + -34 Combine like terms: 34 + -34 = 0 0 + -8w = -14 + -34 -8w = -14 + -34 Combine like terms: -14 + -34 = -48 -8w = -48 Divide each side by '-8'. w = 6 Simplifying w = 6
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