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Simplifying -4(-2w + -2x) + -5(-6x + -1w) = 0 (-2w * -4 + -2x * -4) + -5(-6x + -1w) = 0 (8w + 8x) + -5(-6x + -1w) = 0 Reorder the terms: 8w + 8x + -5(-1w + -6x) = 0 8w + 8x + (-1w * -5 + -6x * -5) = 0 8w + 8x + (5w + 30x) = 0 Reorder the terms: 8w + 5w + 8x + 30x = 0 Combine like terms: 8w + 5w = 13w 13w + 8x + 30x = 0 Combine like terms: 8x + 30x = 38x 13w + 38x = 0 Solving 13w + 38x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-38x' to each side of the equation. 13w + 38x + -38x = 0 + -38x Combine like terms: 38x + -38x = 0 13w + 0 = 0 + -38x 13w = 0 + -38x Remove the zero: 13w = -38x Divide each side by '13'. w = -2.923076923x Simplifying w = -2.923076923x
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