-9(t-9)-(t+3)=6

Solution for -9(t-9)-(t+3)=6 equation:

Simplifying
-9(t + -9) + -1(t + 3) = 6

Reorder the terms:
-9(-9 + t) + -1(t + 3) = 6
(-9 * -9 + t * -9) + -1(t + 3) = 6
(81 + -9t) + -1(t + 3) = 6

Reorder the terms:
81 + -9t + -1(3 + t) = 6
81 + -9t + (3 * -1 + t * -1) = 6
81 + -9t + (-3 + -1t) = 6

Reorder the terms:
81 + -3 + -9t + -1t = 6

Combine like terms: 81 + -3 = 78
78 + -9t + -1t = 6

Combine like terms: -9t + -1t = -10t
78 + -10t = 6

Solving
78 + -10t = 6

Solving for variable 't'.

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

Add '-78' to each side of the equation.
78 + -78 + -10t = 6 + -78

Combine like terms: 78 + -78 = 0
0 + -10t = 6 + -78
-10t = 6 + -78

Combine like terms: 6 + -78 = -72
-10t = -72

Divide each side by '-10'.
t = 7.2

Simplifying
t = 7.2