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