#### Answer

$t=-4$

#### Work Step by Step

$4t+7+6t=-33\longrightarrow$ combine like terms
$10t+7=-33\longrightarrow$ subtract 7 from each side
$10t+7-7=-33-7\longrightarrow$ subtract
$10t=-40\longrightarrow$ divide each side by 10
$10t\div10=-40\div10\longrightarrow$ divide
$t=-4$