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Simplifying abs(4 + -6t) = abs(2t + -2) (4 * abs + -6t * abs) = abs(2t + -2) (4abs + -6abst) = abs(2t + -2) Reorder the terms: 4abs + -6abst = abs(-2 + 2t) 4abs + -6abst = (-2 * abs + 2t * abs) 4abs + -6abst = (-2abs + 2abst) Solving 4abs + -6abst = -2abs + 2abst Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2abs' to each side of the equation. 4abs + 2abs + -6abst = -2abs + 2abs + 2abst Combine like terms: 4abs + 2abs = 6abs 6abs + -6abst = -2abs + 2abs + 2abst Combine like terms: -2abs + 2abs = 0 6abs + -6abst = 0 + 2abst 6abs + -6abst = 2abst Add '-2abst' to each side of the equation. 6abs + -6abst + -2abst = 2abst + -2abst Combine like terms: -6abst + -2abst = -8abst 6abs + -8abst = 2abst + -2abst Combine like terms: 2abst + -2abst = 0 6abs + -8abst = 0 Factor out the Greatest Common Factor (GCF), '2abs'. 2abs(3 + -4t) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'abs' equal to zero and attempt to solve: Simplifying abs = 0 Solving abs = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abs = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + -4t)' equal to zero and attempt to solve: Simplifying 3 + -4t = 0 Solving 3 + -4t = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4t = 0 + -3 -4t = 0 + -3 Combine like terms: 0 + -3 = -3 -4t = -3 Add '4t' to each side of the equation. -4t + 4t = -3 + 4t Combine like terms: -4t + 4t = 0 0 = -3 + 4t Simplifying 0 = -3 + 4t 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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