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Simplifying -9ac + -3b + -7c + 6 = 3b + -1c + 1 Reorder the terms: 6 + -9ac + -3b + -7c = 3b + -1c + 1 Reorder the terms: 6 + -9ac + -3b + -7c = 1 + 3b + -1c Solving 6 + -9ac + -3b + -7c = 1 + 3b + -1c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -9ac + -3b + -6 + -7c = 1 + 3b + -6 + -1c Reorder the terms: 6 + -6 + -9ac + -3b + -7c = 1 + 3b + -6 + -1c Combine like terms: 6 + -6 = 0 0 + -9ac + -3b + -7c = 1 + 3b + -6 + -1c -9ac + -3b + -7c = 1 + 3b + -6 + -1c Reorder the terms: -9ac + -3b + -7c = 1 + -6 + 3b + -1c Combine like terms: 1 + -6 = -5 -9ac + -3b + -7c = -5 + 3b + -1c Add '3b' to each side of the equation. -9ac + -3b + 3b + -7c = -5 + 3b + 3b + -1c Combine like terms: -3b + 3b = 0 -9ac + 0 + -7c = -5 + 3b + 3b + -1c -9ac + -7c = -5 + 3b + 3b + -1c Combine like terms: 3b + 3b = 6b -9ac + -7c = -5 + 6b + -1c Add '7c' to each side of the equation. -9ac + -7c + 7c = -5 + 6b + -1c + 7c Combine like terms: -7c + 7c = 0 -9ac + 0 = -5 + 6b + -1c + 7c -9ac = -5 + 6b + -1c + 7c Combine like terms: -1c + 7c = 6c -9ac = -5 + 6b + 6c Divide each side by '-9c'. a = 0.5555555556c-1 + -0.6666666667bc-1 + -0.6666666667 Simplifying a = 0.5555555556c-1 + -0.6666666667bc-1 + -0.6666666667 Reorder the terms: a = -0.6666666667 + -0.6666666667bc-1 + 0.5555555556c-1
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