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Simplifying -1(4x + -1w) + -5(-3w + -3x) = 0 Reorder the terms: -1(-1w + 4x) + -5(-3w + -3x) = 0 (-1w * -1 + 4x * -1) + -5(-3w + -3x) = 0 (1w + -4x) + -5(-3w + -3x) = 0 1w + -4x + (-3w * -5 + -3x * -5) = 0 1w + -4x + (15w + 15x) = 0 Reorder the terms: 1w + 15w + -4x + 15x = 0 Combine like terms: 1w + 15w = 16w 16w + -4x + 15x = 0 Combine like terms: -4x + 15x = 11x 16w + 11x = 0 Solving 16w + 11x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11x' to each side of the equation. 16w + 11x + -11x = 0 + -11x Combine like terms: 11x + -11x = 0 16w + 0 = 0 + -11x 16w = 0 + -11x Remove the zero: 16w = -11x Divide each side by '16'. w = -0.6875x Simplifying w = -0.6875x
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