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Simplifying 27 + 4b = 5 + 6(5b + -5) * answer Reorder the terms: 27 + 4b = 5 + 6(-5 + 5b) * answer Reorder the terms for easier multiplication: 27 + 4b = 5 + 6aenrsw(-5 + 5b) 27 + 4b = 5 + (-5 * 6aenrsw + 5b * 6aenrsw) Reorder the terms: 27 + 4b = 5 + (30abenrsw + -30aenrsw) 27 + 4b = 5 + (30abenrsw + -30aenrsw) Solving 27 + 4b = 5 + 30abenrsw + -30aenrsw Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30abenrsw' to each side of the equation. 27 + -30abenrsw + 4b = 5 + 30abenrsw + -30abenrsw + -30aenrsw Combine like terms: 30abenrsw + -30abenrsw = 0 27 + -30abenrsw + 4b = 5 + 0 + -30aenrsw 27 + -30abenrsw + 4b = 5 + -30aenrsw Add '-27' to each side of the equation. 27 + -30abenrsw + -27 + 4b = 5 + -27 + -30aenrsw Reorder the terms: 27 + -27 + -30abenrsw + 4b = 5 + -27 + -30aenrsw Combine like terms: 27 + -27 = 0 0 + -30abenrsw + 4b = 5 + -27 + -30aenrsw -30abenrsw + 4b = 5 + -27 + -30aenrsw Combine like terms: 5 + -27 = -22 -30abenrsw + 4b = -22 + -30aenrsw Reorder the terms: 22 + -30abenrsw + 30aenrsw + 4b = -22 + -30aenrsw + 22 + 30aenrsw Reorder the terms: 22 + -30abenrsw + 30aenrsw + 4b = -22 + 22 + -30aenrsw + 30aenrsw Combine like terms: -22 + 22 = 0 22 + -30abenrsw + 30aenrsw + 4b = 0 + -30aenrsw + 30aenrsw 22 + -30abenrsw + 30aenrsw + 4b = -30aenrsw + 30aenrsw Combine like terms: -30aenrsw + 30aenrsw = 0 22 + -30abenrsw + 30aenrsw + 4b = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(11 + -15abenrsw + 15aenrsw + 2b) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + -15abenrsw + 15aenrsw + 2b)' equal to zero and attempt to solve: Simplifying 11 + -15abenrsw + 15aenrsw + 2b = 0 Solving 11 + -15abenrsw + 15aenrsw + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -15abenrsw + 15aenrsw + -11 + 2b = 0 + -11 Reorder the terms: 11 + -11 + -15abenrsw + 15aenrsw + 2b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -15abenrsw + 15aenrsw + 2b = 0 + -11 -15abenrsw + 15aenrsw + 2b = 0 + -11 Combine like terms: 0 + -11 = -11 -15abenrsw + 15aenrsw + 2b = -11 Add '-15aenrsw' to each side of the equation. -15abenrsw + 15aenrsw + -15aenrsw + 2b = -11 + -15aenrsw Combine like terms: 15aenrsw + -15aenrsw = 0 -15abenrsw + 0 + 2b = -11 + -15aenrsw -15abenrsw + 2b = -11 + -15aenrsw 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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