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Simplifying 6 = 2(w + -2) + 3w Reorder the terms: 6 = 2(-2 + w) + 3w 6 = (-2 * 2 + w * 2) + 3w 6 = (-4 + 2w) + 3w Combine like terms: 2w + 3w = 5w 6 = -4 + 5w Solving 6 = -4 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 6 + -5w = -4 + 5w + -5w Combine like terms: 5w + -5w = 0 6 + -5w = -4 + 0 6 + -5w = -4 Add '-6' to each side of the equation. 6 + -6 + -5w = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -5w = -4 + -6 -5w = -4 + -6 Combine like terms: -4 + -6 = -10 -5w = -10 Divide each side by '-5'. w = 2 Simplifying w = 2
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