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Simplifying -6w + 4(w + -8) = -12 Reorder the terms: -6w + 4(-8 + w) = -12 -6w + (-8 * 4 + w * 4) = -12 -6w + (-32 + 4w) = -12 Reorder the terms: -32 + -6w + 4w = -12 Combine like terms: -6w + 4w = -2w -32 + -2w = -12 Solving -32 + -2w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -2w = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -2w = -12 + 32 -2w = -12 + 32 Combine like terms: -12 + 32 = 20 -2w = 20 Divide each side by '-2'. w = -10 Simplifying w = -10
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