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Simplifying -23x(2a + -3b + 4c) = 0 (2a * -23x + -3b * -23x + 4c * -23x) = 0 (-46ax + 69bx + -92cx) = 0 Solving -46ax + 69bx + -92cx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-69bx' to each side of the equation. -46ax + 69bx + -69bx + -92cx = 0 + -69bx Combine like terms: 69bx + -69bx = 0 -46ax + 0 + -92cx = 0 + -69bx -46ax + -92cx = 0 + -69bx Remove the zero: -46ax + -92cx = -69bx Add '92cx' to each side of the equation. -46ax + -92cx + 92cx = -69bx + 92cx Combine like terms: -92cx + 92cx = 0 -46ax + 0 = -69bx + 92cx -46ax = -69bx + 92cx Divide each side by '-46x'. a = 1.5b + -2c Simplifying a = 1.5b + -2c
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