9(5+t)-2(t+4)=

Solution for 9(5+t)-2(t+4)= equation:

Simplifying
9(5 + t) + -2(t + 4) = 0
(5 * 9 + t * 9) + -2(t + 4) = 0
(45 + 9t) + -2(t + 4) = 0

Reorder the terms:
45 + 9t + -2(4 + t) = 0
45 + 9t + (4 * -2 + t * -2) = 0
45 + 9t + (-8 + -2t) = 0

Reorder the terms:
45 + -8 + 9t + -2t = 0

Combine like terms: 45 + -8 = 37
37 + 9t + -2t = 0

Combine like terms: 9t + -2t = 7t
37 + 7t = 0

Solving
37 + 7t = 0

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-37' to each side of the equation.
37 + -37 + 7t = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 7t = 0 + -37
7t = 0 + -37

Combine like terms: 0 + -37 = -37
7t = -37

Divide each side by '7'.
t = -5.285714286

Simplifying
t = -5.285714286