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