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Simplifying abs(3t + -2) = abs(2t + 7) Reorder the terms: abs(-2 + 3t) = abs(2t + 7) (-2 * abs + 3t * abs) = abs(2t + 7) (-2abs + 3abst) = abs(2t + 7) Reorder the terms: -2abs + 3abst = abs(7 + 2t) -2abs + 3abst = (7 * abs + 2t * abs) -2abs + 3abst = (7abs + 2abst) Solving -2abs + 3abst = 7abs + 2abst Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7abs' to each side of the equation. -2abs + -7abs + 3abst = 7abs + -7abs + 2abst Combine like terms: -2abs + -7abs = -9abs -9abs + 3abst = 7abs + -7abs + 2abst Combine like terms: 7abs + -7abs = 0 -9abs + 3abst = 0 + 2abst -9abs + 3abst = 2abst Add '-2abst' to each side of the equation. -9abs + 3abst + -2abst = 2abst + -2abst Combine like terms: 3abst + -2abst = 1abst -9abs + 1abst = 2abst + -2abst Combine like terms: 2abst + -2abst = 0 -9abs + 1abst = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(-9 + t) = 0Subproblem 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 '(-9 + t)' equal to zero and attempt to solve: Simplifying -9 + t = 0 Solving -9 + t = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + t = 0 + 9 t = 0 + 9 Combine like terms: 0 + 9 = 9 t = 9 Add '-1t' to each side of the equation. t + -1t = 9 + -1t Combine like terms: t + -1t = 0 0 = 9 + -1t Simplifying 0 = 9 + -1t 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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