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Simplifying -6w + -4(x + -2w) + 6 = 0 Reorder the terms: -6w + -4(-2w + x) + 6 = 0 -6w + (-2w * -4 + x * -4) + 6 = 0 -6w + (8w + -4x) + 6 = 0 Reorder the terms: 6 + -6w + 8w + -4x = 0 Combine like terms: -6w + 8w = 2w 6 + 2w + -4x = 0 Solving 6 + 2w + -4x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2w + -6 + -4x = 0 + -6 Reorder the terms: 6 + -6 + 2w + -4x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2w + -4x = 0 + -6 2w + -4x = 0 + -6 Combine like terms: 0 + -6 = -6 2w + -4x = -6 Add '4x' to each side of the equation. 2w + -4x + 4x = -6 + 4x Combine like terms: -4x + 4x = 0 2w + 0 = -6 + 4x 2w = -6 + 4x Divide each side by '2'. w = -3 + 2x Simplifying w = -3 + 2x
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