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Simplifying 34 = 2(2w + -4) + 2w Reorder the terms: 34 = 2(-4 + 2w) + 2w 34 = (-4 * 2 + 2w * 2) + 2w 34 = (-8 + 4w) + 2w Combine like terms: 4w + 2w = 6w 34 = -8 + 6w Solving 34 = -8 + 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 = -8 + 6w + -6w Combine like terms: 6w + -6w = 0 34 + -6w = -8 + 0 34 + -6w = -8 Add '-34' to each side of the equation. 34 + -34 + -6w = -8 + -34 Combine like terms: 34 + -34 = 0 0 + -6w = -8 + -34 -6w = -8 + -34 Combine like terms: -8 + -34 = -42 -6w = -42 Divide each side by '-6'. w = 7 Simplifying w = 7
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