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Simplifying 34 = 6(w + 6) + -4w Reorder the terms: 34 = 6(6 + w) + -4w 34 = (6 * 6 + w * 6) + -4w 34 = (36 + 6w) + -4w Combine like terms: 6w + -4w = 2w 34 = 36 + 2w Solving 34 = 36 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 34 + -2w = 36 + 2w + -2w Combine like terms: 2w + -2w = 0 34 + -2w = 36 + 0 34 + -2w = 36 Add '-34' to each side of the equation. 34 + -34 + -2w = 36 + -34 Combine like terms: 34 + -34 = 0 0 + -2w = 36 + -34 -2w = 36 + -34 Combine like terms: 36 + -34 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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