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Simplifying -20 = 2(w + -6) + 6w Reorder the terms: -20 = 2(-6 + w) + 6w -20 = (-6 * 2 + w * 2) + 6w -20 = (-12 + 2w) + 6w Combine like terms: 2w + 6w = 8w -20 = -12 + 8w Solving -20 = -12 + 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. -20 + -8w = -12 + 8w + -8w Combine like terms: 8w + -8w = 0 -20 + -8w = -12 + 0 -20 + -8w = -12 Add '20' to each side of the equation. -20 + 20 + -8w = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -8w = -12 + 20 -8w = -12 + 20 Combine like terms: -12 + 20 = 8 -8w = 8 Divide each side by '-8'. w = -1 Simplifying w = -1
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