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Simplifying 42t + 2414bt = 24t + -10b Reorder the terms: 2414bt + 42t = 24t + -10b Reorder the terms: 2414bt + 42t = -10b + 24t Solving 2414bt + 42t = -10b + 24t Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 2414bt + 10b + 42t = -10b + 10b + 24t Reorder the terms: 10b + 2414bt + 42t = -10b + 10b + 24t Combine like terms: -10b + 10b = 0 10b + 2414bt + 42t = 0 + 24t 10b + 2414bt + 42t = 24t Add '-42t' to each side of the equation. 10b + 2414bt + 42t + -42t = 24t + -42t Combine like terms: 42t + -42t = 0 10b + 2414bt + 0 = 24t + -42t 10b + 2414bt = 24t + -42t Combine like terms: 24t + -42t = -18t 10b + 2414bt = -18t Combine like terms: -18t + 18t = 0 10b + 2414bt + 18t = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5b + 1207bt + 9t) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5b + 1207bt + 9t)' equal to zero and attempt to solve: Simplifying 5b + 1207bt + 9t = 0 Solving 5b + 1207bt + 9t = 0 Move all terms containing b to the left, all other terms to the right. Add '-9t' to each side of the equation. 5b + 1207bt + 9t + -9t = 0 + -9t Combine like terms: 9t + -9t = 0 5b + 1207bt + 0 = 0 + -9t 5b + 1207bt = 0 + -9t Remove the zero: 5b + 1207bt = -9t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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