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Simplifying 4 = 6(w + -6) + 2w Reorder the terms: 4 = 6(-6 + w) + 2w 4 = (-6 * 6 + w * 6) + 2w 4 = (-36 + 6w) + 2w Combine like terms: 6w + 2w = 8w 4 = -36 + 8w Solving 4 = -36 + 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 + -8w = -36 + 8w + -8w Combine like terms: 8w + -8w = 0 4 + -8w = -36 + 0 4 + -8w = -36 Add '-4' to each side of the equation. 4 + -4 + -8w = -36 + -4 Combine like terms: 4 + -4 = 0 0 + -8w = -36 + -4 -8w = -36 + -4 Combine like terms: -36 + -4 = -40 -8w = -40 Divide each side by '-8'. w = 5 Simplifying w = 5
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