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Simplifying -3(x + -1w) + -5(3w + -2x) = 0 Reorder the terms: -3(-1w + x) + -5(3w + -2x) = 0 (-1w * -3 + x * -3) + -5(3w + -2x) = 0 (3w + -3x) + -5(3w + -2x) = 0 3w + -3x + (3w * -5 + -2x * -5) = 0 3w + -3x + (-15w + 10x) = 0 Reorder the terms: 3w + -15w + -3x + 10x = 0 Combine like terms: 3w + -15w = -12w -12w + -3x + 10x = 0 Combine like terms: -3x + 10x = 7x -12w + 7x = 0 Solving -12w + 7x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7x' to each side of the equation. -12w + 7x + -7x = 0 + -7x Combine like terms: 7x + -7x = 0 -12w + 0 = 0 + -7x -12w = 0 + -7x Remove the zero: -12w = -7x Divide each side by '-12'. w = 0.5833333333x Simplifying w = 0.5833333333x
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