10(-3-2t)+10-2(t-13)=0

Solution for 10(-3-2t)+10-2(t-13)=0 equation:

Simplifying
10(-3 + -2t) + 10 + -2(t + -13) = 0
(-3 * 10 + -2t * 10) + 10 + -2(t + -13) = 0
(-30 + -20t) + 10 + -2(t + -13) = 0

Reorder the terms:
-30 + -20t + 10 + -2(-13 + t) = 0
-30 + -20t + 10 + (-13 * -2 + t * -2) = 0
-30 + -20t + 10 + (26 + -2t) = 0

Reorder the terms:
-30 + 10 + 26 + -20t + -2t = 0

Combine like terms: -30 + 10 = -20
-20 + 26 + -20t + -2t = 0

Combine like terms: -20 + 26 = 6
6 + -20t + -2t = 0

Combine like terms: -20t + -2t = -22t
6 + -22t = 0

Solving
6 + -22t = 0

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + -22t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -22t = 0 + -6
-22t = 0 + -6

Combine like terms: 0 + -6 = -6
-22t = -6

Divide each side by '-22'.
t = 0.2727272727

Simplifying
t = 0.2727272727