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Simplifying 4 = 2(w + -7) + -8w Reorder the terms: 4 = 2(-7 + w) + -8w 4 = (-7 * 2 + w * 2) + -8w 4 = (-14 + 2w) + -8w Combine like terms: 2w + -8w = -6w 4 = -14 + -6w Solving 4 = -14 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 4 + 6w = -14 + -6w + 6w Combine like terms: -6w + 6w = 0 4 + 6w = -14 + 0 4 + 6w = -14 Add '-4' to each side of the equation. 4 + -4 + 6w = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 6w = -14 + -4 6w = -14 + -4 Combine like terms: -14 + -4 = -18 6w = -18 Divide each side by '6'. w = -3 Simplifying w = -3
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