2(13t-15)+3(t-9)=0

Solution for 2(13t-15)+3(t-9)=0 equation:

Simplifying
2(13t + -15) + 3(t + -9) = 0

Reorder the terms:
2(-15 + 13t) + 3(t + -9) = 0
(-15 * 2 + 13t * 2) + 3(t + -9) = 0
(-30 + 26t) + 3(t + -9) = 0

Reorder the terms:
-30 + 26t + 3(-9 + t) = 0
-30 + 26t + (-9 * 3 + t * 3) = 0
-30 + 26t + (-27 + 3t) = 0

Reorder the terms:
-30 + -27 + 26t + 3t = 0

Combine like terms: -30 + -27 = -57
-57 + 26t + 3t = 0

Combine like terms: 26t + 3t = 29t
-57 + 29t = 0

Solving
-57 + 29t = 0

Solving for variable 't'.

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

Add '57' to each side of the equation.
-57 + 57 + 29t = 0 + 57

Combine like terms: -57 + 57 = 0
0 + 29t = 0 + 57
29t = 0 + 57

Combine like terms: 0 + 57 = 57
29t = 57

Divide each side by '29'.
t = 1.965517241

Simplifying
t = 1.965517241