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Simplifying 8abc + -7b + -7c + 8 = 5b + 5c + 1 Reorder the terms: 8 + 8abc + -7b + -7c = 5b + 5c + 1 Reorder the terms: 8 + 8abc + -7b + -7c = 1 + 5b + 5c Solving 8 + 8abc + -7b + -7c = 1 + 5b + 5c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 8abc + -7b + -8 + -7c = 1 + 5b + -8 + 5c Reorder the terms: 8 + -8 + 8abc + -7b + -7c = 1 + 5b + -8 + 5c Combine like terms: 8 + -8 = 0 0 + 8abc + -7b + -7c = 1 + 5b + -8 + 5c 8abc + -7b + -7c = 1 + 5b + -8 + 5c Reorder the terms: 8abc + -7b + -7c = 1 + -8 + 5b + 5c Combine like terms: 1 + -8 = -7 8abc + -7b + -7c = -7 + 5b + 5c Add '7b' to each side of the equation. 8abc + -7b + 7b + -7c = -7 + 5b + 7b + 5c Combine like terms: -7b + 7b = 0 8abc + 0 + -7c = -7 + 5b + 7b + 5c 8abc + -7c = -7 + 5b + 7b + 5c Combine like terms: 5b + 7b = 12b 8abc + -7c = -7 + 12b + 5c Add '7c' to each side of the equation. 8abc + -7c + 7c = -7 + 12b + 5c + 7c Combine like terms: -7c + 7c = 0 8abc + 0 = -7 + 12b + 5c + 7c 8abc = -7 + 12b + 5c + 7c Combine like terms: 5c + 7c = 12c 8abc = -7 + 12b + 12c Divide each side by '8bc'. a = -0.875b-1c-1 + 1.5c-1 + 1.5b-1 Simplifying a = -0.875b-1c-1 + 1.5c-1 + 1.5b-1 Reorder the terms: a = 1.5b-1 + -0.875b-1c-1 + 1.5c-1
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