-9(t-5)-2(2t+1)=-9

Solution for -9(t-5)-2(2t+1)=-9 equation:

Simplifying
-9(t + -5) + -2(2t + 1) = -9

Reorder the terms:
-9(-5 + t) + -2(2t + 1) = -9
(-5 * -9 + t * -9) + -2(2t + 1) = -9
(45 + -9t) + -2(2t + 1) = -9

Reorder the terms:
45 + -9t + -2(1 + 2t) = -9
45 + -9t + (1 * -2 + 2t * -2) = -9
45 + -9t + (-2 + -4t) = -9

Reorder the terms:
45 + -2 + -9t + -4t = -9

Combine like terms: 45 + -2 = 43
43 + -9t + -4t = -9

Combine like terms: -9t + -4t = -13t
43 + -13t = -9

Solving
43 + -13t = -9

Solving for variable 't'.

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

Add '-43' to each side of the equation.
43 + -43 + -13t = -9 + -43

Combine like terms: 43 + -43 = 0
0 + -13t = -9 + -43
-13t = -9 + -43

Combine like terms: -9 + -43 = -52
-13t = -52

Divide each side by '-13'.
t = 4

Simplifying
t = 4