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Simplifying -1w + -2(-4x + 6w) + -2x = 0 Reorder the terms: -1w + -2(6w + -4x) + -2x = 0 -1w + (6w * -2 + -4x * -2) + -2x = 0 -1w + (-12w + 8x) + -2x = 0 Combine like terms: -1w + -12w = -13w -13w + 8x + -2x = 0 Combine like terms: 8x + -2x = 6x -13w + 6x = 0 Solving -13w + 6x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6x' to each side of the equation. -13w + 6x + -6x = 0 + -6x Combine like terms: 6x + -6x = 0 -13w + 0 = 0 + -6x -13w = 0 + -6x Remove the zero: -13w = -6x Divide each side by '-13'. w = 0.4615384615x Simplifying w = 0.4615384615x
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