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