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Simplifying -4(-5w + -1x) + -5(2x + -1w) = 0 (-5w * -4 + -1x * -4) + -5(2x + -1w) = 0 (20w + 4x) + -5(2x + -1w) = 0 Reorder the terms: 20w + 4x + -5(-1w + 2x) = 0 20w + 4x + (-1w * -5 + 2x * -5) = 0 20w + 4x + (5w + -10x) = 0 Reorder the terms: 20w + 5w + 4x + -10x = 0 Combine like terms: 20w + 5w = 25w 25w + 4x + -10x = 0 Combine like terms: 4x + -10x = -6x 25w + -6x = 0 Solving 25w + -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. 25w + -6x + 6x = 0 + 6x Combine like terms: -6x + 6x = 0 25w + 0 = 0 + 6x 25w = 0 + 6x Remove the zero: 25w = 6x Divide each side by '25'. w = 0.24x Simplifying w = 0.24x
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