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Simplifying 4abc + 8b + 10c + 7 = 10b + 7c + 5 Reorder the terms: 7 + 4abc + 8b + 10c = 10b + 7c + 5 Reorder the terms: 7 + 4abc + 8b + 10c = 5 + 10b + 7c Solving 7 + 4abc + 8b + 10c = 5 + 10b + 7c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 4abc + 8b + -7 + 10c = 5 + 10b + -7 + 7c Reorder the terms: 7 + -7 + 4abc + 8b + 10c = 5 + 10b + -7 + 7c Combine like terms: 7 + -7 = 0 0 + 4abc + 8b + 10c = 5 + 10b + -7 + 7c 4abc + 8b + 10c = 5 + 10b + -7 + 7c Reorder the terms: 4abc + 8b + 10c = 5 + -7 + 10b + 7c Combine like terms: 5 + -7 = -2 4abc + 8b + 10c = -2 + 10b + 7c Add '-8b' to each side of the equation. 4abc + 8b + -8b + 10c = -2 + 10b + -8b + 7c Combine like terms: 8b + -8b = 0 4abc + 0 + 10c = -2 + 10b + -8b + 7c 4abc + 10c = -2 + 10b + -8b + 7c Combine like terms: 10b + -8b = 2b 4abc + 10c = -2 + 2b + 7c Add '-10c' to each side of the equation. 4abc + 10c + -10c = -2 + 2b + 7c + -10c Combine like terms: 10c + -10c = 0 4abc + 0 = -2 + 2b + 7c + -10c 4abc = -2 + 2b + 7c + -10c Combine like terms: 7c + -10c = -3c 4abc = -2 + 2b + -3c Divide each side by '4bc'. a = -0.5b-1c-1 + 0.5c-1 + -0.75b-1 Simplifying a = -0.5b-1c-1 + 0.5c-1 + -0.75b-1 Reorder the terms: a = -0.75b-1 + -0.5b-1c-1 + 0.5c-1
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