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Simplifying -12 = 4(w + -5) + -6w Reorder the terms: -12 = 4(-5 + w) + -6w -12 = (-5 * 4 + w * 4) + -6w -12 = (-20 + 4w) + -6w Combine like terms: 4w + -6w = -2w -12 = -20 + -2w Solving -12 = -20 + -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. -12 + 2w = -20 + -2w + 2w Combine like terms: -2w + 2w = 0 -12 + 2w = -20 + 0 -12 + 2w = -20 Add '12' to each side of the equation. -12 + 12 + 2w = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 2w = -20 + 12 2w = -20 + 12 Combine like terms: -20 + 12 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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