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Simplifying 5b + 4c + 18c + -22a + z = 0 Reorder the terms: -22a + 5b + 4c + 18c + z = 0 Combine like terms: 4c + 18c = 22c -22a + 5b + 22c + z = 0 Solving -22a + 5b + 22c + z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. -22a + 5b + 22c + -5b + z = 0 + -5b Reorder the terms: -22a + 5b + -5b + 22c + z = 0 + -5b Combine like terms: 5b + -5b = 0 -22a + 0 + 22c + z = 0 + -5b -22a + 22c + z = 0 + -5b Remove the zero: -22a + 22c + z = -5b Add '-22c' to each side of the equation. -22a + 22c + -22c + z = -5b + -22c Combine like terms: 22c + -22c = 0 -22a + 0 + z = -5b + -22c -22a + z = -5b + -22c Add '-1z' to each side of the equation. -22a + z + -1z = -5b + -22c + -1z Combine like terms: z + -1z = 0 -22a + 0 = -5b + -22c + -1z -22a = -5b + -22c + -1z Divide each side by '-22'. a = 0.2272727273b + c + 0.04545454545z Simplifying a = 0.2272727273b + c + 0.04545454545z
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