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Simplifying a + -1b = 3a + bfora Solving a + -1b = 3a + abfor Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. a + -3a + -1b = 3a + -3a + abfor Combine like terms: a + -3a = -2a -2a + -1b = 3a + -3a + abfor Combine like terms: 3a + -3a = 0 -2a + -1b = 0 + abfor -2a + -1b = abfor Add '-1abfor' to each side of the equation. -2a + -1abfor + -1b = abfor + -1abfor Combine like terms: abfor + -1abfor = 0 -2a + -1abfor + -1b = 0 Add 'b' to each side of the equation. -2a + -1abfor + -1b + b = 0 + b Combine like terms: -1b + b = 0 -2a + -1abfor + 0 = 0 + b -2a + -1abfor = 0 + b Remove the zero: -2a + -1abfor = b Combine like terms: b + -1b = 0 -2a + -1abfor + -1b = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2a + abfor + b) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2a + abfor + b)' equal to zero and attempt to solve: Simplifying 2a + abfor + b = 0 Solving 2a + abfor + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 2a + abfor + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 2a + abfor + 0 = 0 + -1b 2a + abfor = 0 + -1b Remove the zero: 2a + abfor = -1b 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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