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Simplifying 3w + 4 = 8w + -6 Reorder the terms: 4 + 3w = 8w + -6 Reorder the terms: 4 + 3w = -6 + 8w Solving 4 + 3w = -6 + 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. 4 + 3w + -8w = -6 + 8w + -8w Combine like terms: 3w + -8w = -5w 4 + -5w = -6 + 8w + -8w Combine like terms: 8w + -8w = 0 4 + -5w = -6 + 0 4 + -5w = -6 Add '-4' to each side of the equation. 4 + -4 + -5w = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5w = -6 + -4 -5w = -6 + -4 Combine like terms: -6 + -4 = -10 -5w = -10 Divide each side by '-5'. w = 2 Simplifying w = 2
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