-2(t+(42)/(3))=(91)/(2)
Divide each term in the equation by 2.
-(2(t+(42)/(3)))/(2)=(91)/(2)*(1)/(2)
Simplify the left-hand side of the equation by canceling the common terms.
-(t+14)=(91)/(2)*(1)/(2)
Simplify the right-hand side of the equation by simplifying each term.
-(t+14)=(91)/(4)
Multiply -1 by each term inside the parentheses.
(-t-14)=(91)/(4)
Remove the parentheses around the expression -t-14.
-t-14=(91)/(4)
Since -14 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 14 to both sides.
-t=14+(91)/(4)
Simplify the right-hand side of the equation.
-t=(147)/(4)
Multiply each term in the equation by -1.
-t*-1=(147)/(4)*-1
Multiply -t by -1 to get t.
t=(147)/(4)*-1
Multiply (147)/(4) by -1 to get -(147)/(4).
t=-(147)/(4)