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Simplifying 6t + -1rt = 12fort Reorder the terms: -1rt + 6t = 12fort Solving -1rt + 6t = 12fort Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12fort' to each side of the equation. -1rt + -12fort + 6t = 12fort + -12fort Reorder the terms: -12fort + -1rt + 6t = 12fort + -12fort Combine like terms: 12fort + -12fort = 0 -12fort + -1rt + 6t = 0 Add '-6t' to each side of the equation. -12fort + -1rt + 6t + -6t = 0 + -6t Combine like terms: 6t + -6t = 0 -12fort + -1rt + 0 = 0 + -6t -12fort + -1rt = 0 + -6t Remove the zero: -12fort + -1rt = -6t Combine like terms: -6t + 6t = 0 -12fort + -1rt + 6t = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-12for + -1r + 6) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing r to the left, all other terms to the right. Add '-1t' to each side of the equation. t + -1t = 0 + -1t Remove the zero: 0 = -1t Simplifying 0 = -1t 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 '(-12for + -1r + 6)' equal to zero and attempt to solve: Simplifying -12for + -1r + 6 = 0 Reorder the terms: 6 + -12for + -1r = 0 Solving 6 + -12for + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -12for + -6 + -1r = 0 + -6 Reorder the terms: 6 + -6 + -12for + -1r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -12for + -1r = 0 + -6 -12for + -1r = 0 + -6 Combine like terms: 0 + -6 = -6 -12for + -1r = -6 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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