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Simplifying 2(w + -6) = -5w + -5 Reorder the terms: 2(-6 + w) = -5w + -5 (-6 * 2 + w * 2) = -5w + -5 (-12 + 2w) = -5w + -5 Reorder the terms: -12 + 2w = -5 + -5w Solving -12 + 2w = -5 + -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. -12 + 2w + 5w = -5 + -5w + 5w Combine like terms: 2w + 5w = 7w -12 + 7w = -5 + -5w + 5w Combine like terms: -5w + 5w = 0 -12 + 7w = -5 + 0 -12 + 7w = -5 Add '12' to each side of the equation. -12 + 12 + 7w = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 7w = -5 + 12 7w = -5 + 12 Combine like terms: -5 + 12 = 7 7w = 7 Divide each side by '7'. w = 1 Simplifying w = 1
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