Question 505495
{{{5.4t+14.6-10.0t=12.8-3.5t-0.6}}} Start with the given equation.



{{{10(5.4t+14.6-10.0t)=10(12.8-3.5t-0.6)}}} Multiply both sides by 10 to clear out the decimals.



{{{54t+146-100t=128-35t-6}}} Distribute and multiply.



{{{146-46t=128-35t-6}}} Combine like terms on the left side.



{{{146-46t=122-35t}}} Combine like terms on the right side.



{{{-46t=122-35t-146}}} Subtract {{{146}}} from both sides.



{{{-46t+35t=122-146}}} Add {{{35t}}} to both sides.



{{{-11t=122-146}}} Combine like terms on the left side.



{{{-11t=-24}}} Combine like terms on the right side.



{{{t=(-24)/(-11)}}} Divide both sides by {{{-11}}} to isolate {{{t}}}.



{{{t=24/11}}} Reduce.



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Answer:


So the solution is {{{t=24/11}}}