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Simplifying -6 = 2(w + -8) + -7w Reorder the terms: -6 = 2(-8 + w) + -7w -6 = (-8 * 2 + w * 2) + -7w -6 = (-16 + 2w) + -7w Combine like terms: 2w + -7w = -5w -6 = -16 + -5w Solving -6 = -16 + -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 = -16 + -5w + 5w Combine like terms: -5w + 5w = 0 -6 + 5w = -16 + 0 -6 + 5w = -16 Add '6' to each side of the equation. -6 + 6 + 5w = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 5w = -16 + 6 5w = -16 + 6 Combine like terms: -16 + 6 = -10 5w = -10 Divide each side by '5'. w = -2 Simplifying w = -2
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