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Simplifying -1(-3x + -1w) + 6(-3w + -3x) = 0 Reorder the terms: -1(-1w + -3x) + 6(-3w + -3x) = 0 (-1w * -1 + -3x * -1) + 6(-3w + -3x) = 0 (1w + 3x) + 6(-3w + -3x) = 0 1w + 3x + (-3w * 6 + -3x * 6) = 0 1w + 3x + (-18w + -18x) = 0 Reorder the terms: 1w + -18w + 3x + -18x = 0 Combine like terms: 1w + -18w = -17w -17w + 3x + -18x = 0 Combine like terms: 3x + -18x = -15x -17w + -15x = 0 Solving -17w + -15x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15x' to each side of the equation. -17w + -15x + 15x = 0 + 15x Combine like terms: -15x + 15x = 0 -17w + 0 = 0 + 15x -17w = 0 + 15x Remove the zero: -17w = 15x Divide each side by '-17'. w = -0.8823529412x Simplifying w = -0.8823529412x
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