Isolate variable t: Start with the equation −8t=−9t+6. To isolate the variable t, we want to get all the t terms on one side of the equation.Add 9t to both sides of the equation to move the t terms to the left side.−8t+9t=−9t+6+9t
Combine like terms: Simplify the equation by combining like terms on both sides.−8t+9t=1t (or simply t)−9t+9t=0So, the simplified equation is t=6.
Check solution: Check the solution by substituting the value of t back into the original equation.−8(6)=−9(6)+6−48=−54+6−48=−48Since both sides of the equation are equal, the solution t=6 is correct.
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