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Simplifying -6w + -2(-2x + 6w) + -5x = 0 Reorder the terms: -6w + -2(6w + -2x) + -5x = 0 -6w + (6w * -2 + -2x * -2) + -5x = 0 -6w + (-12w + 4x) + -5x = 0 Combine like terms: -6w + -12w = -18w -18w + 4x + -5x = 0 Combine like terms: 4x + -5x = -1x -18w + -1x = 0 Solving -18w + -1x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'x' to each side of the equation. -18w + -1x + x = 0 + x Combine like terms: -1x + x = 0 -18w + 0 = 0 + x -18w = 0 + x Remove the zero: -18w = x Divide each side by '-18'. w = -0.05555555556x Simplifying w = -0.05555555556x
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