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Simplifying -2t + 2x = 8fort Solving -2t + 2x = 8fort Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8fort' to each side of the equation. -2t + -8fort + 2x = 8fort + -8fort Reorder the terms: -8fort + -2t + 2x = 8fort + -8fort Combine like terms: 8fort + -8fort = 0 -8fort + -2t + 2x = 0 Add '-2x' to each side of the equation. -8fort + -2t + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 -8fort + -2t + 0 = 0 + -2x -8fort + -2t = 0 + -2x Remove the zero: -8fort + -2t = -2x Combine like terms: -2x + 2x = 0 -8fort + -2t + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4fort + -1t + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4fort + -1t + x)' equal to zero and attempt to solve: Simplifying -4fort + -1t + x = 0 Solving -4fort + -1t + x = 0 Move all terms containing t to the left, all other terms to the right. Add '-1x' to each side of the equation. -4fort + -1t + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -4fort + -1t + 0 = 0 + -1x -4fort + -1t = 0 + -1x Remove the zero: -4fort + -1t = -1x 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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