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Simplifying -34 = 4(w + 2) + 2w Reorder the terms: -34 = 4(2 + w) + 2w -34 = (2 * 4 + w * 4) + 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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