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Simplifying 8abc + -1(9 + -3abc) + -1(5abc + -21) = 0 8abc + (9 * -1 + -3abc * -1) + -1(5abc + -21) = 0 8abc + (-9 + 3abc) + -1(5abc + -21) = 0 Reorder the terms: 8abc + -9 + 3abc + -1(-21 + 5abc) = 0 8abc + -9 + 3abc + (-21 * -1 + 5abc * -1) = 0 8abc + -9 + 3abc + (21 + -5abc) = 0 Reorder the terms: -9 + 21 + 8abc + 3abc + -5abc = 0 Combine like terms: -9 + 21 = 12 12 + 8abc + 3abc + -5abc = 0 Combine like terms: 8abc + 3abc = 11abc 12 + 11abc + -5abc = 0 Combine like terms: 11abc + -5abc = 6abc 12 + 6abc = 0 Solving 12 + 6abc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6abc = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6abc = 0 + -12 6abc = 0 + -12 Combine like terms: 0 + -12 = -12 6abc = -12 Divide each side by '6bc'. a = -2b-1c-1 Simplifying a = -2b-1c-1
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