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Simplifying 6w + 20 = 4w + -172 Reorder the terms: 20 + 6w = 4w + -172 Reorder the terms: 20 + 6w = -172 + 4w Solving 20 + 6w = -172 + 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. 20 + 6w + -4w = -172 + 4w + -4w Combine like terms: 6w + -4w = 2w 20 + 2w = -172 + 4w + -4w Combine like terms: 4w + -4w = 0 20 + 2w = -172 + 0 20 + 2w = -172 Add '-20' to each side of the equation. 20 + -20 + 2w = -172 + -20 Combine like terms: 20 + -20 = 0 0 + 2w = -172 + -20 2w = -172 + -20 Combine like terms: -172 + -20 = -192 2w = -192 Divide each side by '2'. w = -96 Simplifying w = -96
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