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Simplifying 6(-2 + 4x + 2w) = 0 Reorder the terms: 6(-2 + 2w + 4x) = 0 (-2 * 6 + 2w * 6 + 4x * 6) = 0 (-12 + 12w + 24x) = 0 Solving -12 + 12w + 24x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12w + 12 + 24x = 0 + 12 Reorder the terms: -12 + 12 + 12w + 24x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 12w + 24x = 0 + 12 12w + 24x = 0 + 12 Combine like terms: 0 + 12 = 12 12w + 24x = 12 Add '-24x' to each side of the equation. 12w + 24x + -24x = 12 + -24x Combine like terms: 24x + -24x = 0 12w + 0 = 12 + -24x 12w = 12 + -24x Divide each side by '12'. w = 1 + -2x Simplifying w = 1 + -2x
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