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Simplifying -4(w + -6) = 2w + -12 Reorder the terms: -4(-6 + w) = 2w + -12 (-6 * -4 + w * -4) = 2w + -12 (24 + -4w) = 2w + -12 Reorder the terms: 24 + -4w = -12 + 2w Solving 24 + -4w = -12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 24 + -4w + -2w = -12 + 2w + -2w Combine like terms: -4w + -2w = -6w 24 + -6w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 24 + -6w = -12 + 0 24 + -6w = -12 Add '-24' to each side of the equation. 24 + -24 + -6w = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -6w = -12 + -24 -6w = -12 + -24 Combine like terms: -12 + -24 = -36 -6w = -36 Divide each side by '-6'. w = 6 Simplifying w = 6
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