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Simplifying 4w + 10 = 8w + 22 Reorder the terms: 10 + 4w = 8w + 22 Reorder the terms: 10 + 4w = 22 + 8w Solving 10 + 4w = 22 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 10 + 4w + -8w = 22 + 8w + -8w Combine like terms: 4w + -8w = -4w 10 + -4w = 22 + 8w + -8w Combine like terms: 8w + -8w = 0 10 + -4w = 22 + 0 10 + -4w = 22 Add '-10' to each side of the equation. 10 + -10 + -4w = 22 + -10 Combine like terms: 10 + -10 = 0 0 + -4w = 22 + -10 -4w = 22 + -10 Combine like terms: 22 + -10 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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