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Simplifying 2(w + -6) = -6w + -44 Reorder the terms: 2(-6 + w) = -6w + -44 (-6 * 2 + w * 2) = -6w + -44 (-12 + 2w) = -6w + -44 Reorder the terms: -12 + 2w = -44 + -6w Solving -12 + 2w = -44 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -12 + 2w + 6w = -44 + -6w + 6w Combine like terms: 2w + 6w = 8w -12 + 8w = -44 + -6w + 6w Combine like terms: -6w + 6w = 0 -12 + 8w = -44 + 0 -12 + 8w = -44 Add '12' to each side of the equation. -12 + 12 + 8w = -44 + 12 Combine like terms: -12 + 12 = 0 0 + 8w = -44 + 12 8w = -44 + 12 Combine like terms: -44 + 12 = -32 8w = -32 Divide each side by '8'. w = -4 Simplifying w = -4
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