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Simplifying ar + bg + c = 0 Solving ar + bg + c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bg' to each side of the equation. ar + bg + -1bg + c = 0 + -1bg Combine like terms: bg + -1bg = 0 ar + 0 + c = 0 + -1bg ar + c = 0 + -1bg Remove the zero: ar + c = -1bg Add '-1c' to each side of the equation. ar + c + -1c = -1bg + -1c Combine like terms: c + -1c = 0 ar + 0 = -1bg + -1c ar = -1bg + -1c Divide each side by 'r'. a = -1bgr-1 + -1cr-1 Simplifying a = -1bgr-1 + -1cr-1
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