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Simplifying 3(w + -3x) + -2(-5x + -5w) = 0 (w * 3 + -3x * 3) + -2(-5x + -5w) = 0 (3w + -9x) + -2(-5x + -5w) = 0 Reorder the terms: 3w + -9x + -2(-5w + -5x) = 0 3w + -9x + (-5w * -2 + -5x * -2) = 0 3w + -9x + (10w + 10x) = 0 Reorder the terms: 3w + 10w + -9x + 10x = 0 Combine like terms: 3w + 10w = 13w 13w + -9x + 10x = 0 Combine like terms: -9x + 10x = 1x 13w + 1x = 0 Solving 13w + 1x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. 13w + 1x + -1x = 0 + -1x Combine like terms: 1x + -1x = 0 13w + 0 = 0 + -1x 13w = 0 + -1x Remove the zero: 13w = -1x Divide each side by '13'. w = -0.07692307692x Simplifying w = -0.07692307692x
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