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Simplifying -1(-5x + -1w) + -3(5w + 3x) = 0 Reorder the terms: -1(-1w + -5x) + -3(5w + 3x) = 0 (-1w * -1 + -5x * -1) + -3(5w + 3x) = 0 (1w + 5x) + -3(5w + 3x) = 0 1w + 5x + (5w * -3 + 3x * -3) = 0 1w + 5x + (-15w + -9x) = 0 Reorder the terms: 1w + -15w + 5x + -9x = 0 Combine like terms: 1w + -15w = -14w -14w + 5x + -9x = 0 Combine like terms: 5x + -9x = -4x -14w + -4x = 0 Solving -14w + -4x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4x' to each side of the equation. -14w + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 -14w + 0 = 0 + 4x -14w = 0 + 4x Remove the zero: -14w = 4x Divide each side by '-14'. w = -0.2857142857x Simplifying w = -0.2857142857x
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