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Simplifying -1(-5x + -1w) + -2(-2w + 5x) = 0 Reorder the terms: -1(-1w + -5x) + -2(-2w + 5x) = 0 (-1w * -1 + -5x * -1) + -2(-2w + 5x) = 0 (1w + 5x) + -2(-2w + 5x) = 0 1w + 5x + (-2w * -2 + 5x * -2) = 0 1w + 5x + (4w + -10x) = 0 Reorder the terms: 1w + 4w + 5x + -10x = 0 Combine like terms: 1w + 4w = 5w 5w + 5x + -10x = 0 Combine like terms: 5x + -10x = -5x 5w + -5x = 0 Solving 5w + -5x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5x' to each side of the equation. 5w + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 5w + 0 = 0 + 5x 5w = 0 + 5x Remove the zero: 5w = 5x Divide each side by '5'. w = x Simplifying w = x
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