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Simplifying -6w + 4(w + -2) = 12 Reorder the terms: -6w + 4(-2 + w) = 12 -6w + (-2 * 4 + w * 4) = 12 -6w + (-8 + 4w) = 12 Reorder the terms: -8 + -6w + 4w = 12 Combine like terms: -6w + 4w = -2w -8 + -2w = 12 Solving -8 + -2w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -2w = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -2w = 12 + 8 -2w = 12 + 8 Combine like terms: 12 + 8 = 20 -2w = 20 Divide each side by '-2'. w = -10 Simplifying w = -10
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