Answer
$t=-1$
Work Step by Step
To clear the decimals in the equation, multiply both sides by 100.
$100(1.7t+8-1.62t)=100(0.4t-0.32+8)$
Use the distributive property to separate the terms.
$100(1.7t)+100(8)-100(1.62t)=100(0.4t)-100(0.32)+100(8)$
$170t+800-162t=40t=32+800$
Move all of the pronumerals to the left side.
$170t-162t-40t=32+800-800$
$-32t=32$
$-t=1$
$t=-1$