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Simplifying 2(w + -6) = -3w + -17 Reorder the terms: 2(-6 + w) = -3w + -17 (-6 * 2 + w * 2) = -3w + -17 (-12 + 2w) = -3w + -17 Reorder the terms: -12 + 2w = -17 + -3w Solving -12 + 2w = -17 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -12 + 2w + 3w = -17 + -3w + 3w Combine like terms: 2w + 3w = 5w -12 + 5w = -17 + -3w + 3w Combine like terms: -3w + 3w = 0 -12 + 5w = -17 + 0 -12 + 5w = -17 Add '12' to each side of the equation. -12 + 12 + 5w = -17 + 12 Combine like terms: -12 + 12 = 0 0 + 5w = -17 + 12 5w = -17 + 12 Combine like terms: -17 + 12 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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