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Simplifying 6w + 34 = 4(w + 6) Reorder the terms: 34 + 6w = 4(w + 6) Reorder the terms: 34 + 6w = 4(6 + w) 34 + 6w = (6 * 4 + w * 4) 34 + 6w = (24 + 4w) Solving 34 + 6w = 24 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 34 + 6w + -4w = 24 + 4w + -4w Combine like terms: 6w + -4w = 2w 34 + 2w = 24 + 4w + -4w Combine like terms: 4w + -4w = 0 34 + 2w = 24 + 0 34 + 2w = 24 Add '-34' to each side of the equation. 34 + -34 + 2w = 24 + -34 Combine like terms: 34 + -34 = 0 0 + 2w = 24 + -34 2w = 24 + -34 Combine like terms: 24 + -34 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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