-6(t-9)-(t+3)=10

Solution for -6(t-9)-(t+3)=10 equation:

Simplifying
-6(t + -9) + -1(t + 3) = 10

Reorder the terms:
-6(-9 + t) + -1(t + 3) = 10
(-9 * -6 + t * -6) + -1(t + 3) = 10
(54 + -6t) + -1(t + 3) = 10

Reorder the terms:
54 + -6t + -1(3 + t) = 10
54 + -6t + (3 * -1 + t * -1) = 10
54 + -6t + (-3 + -1t) = 10

Reorder the terms:
54 + -3 + -6t + -1t = 10

Combine like terms: 54 + -3 = 51
51 + -6t + -1t = 10

Combine like terms: -6t + -1t = -7t
51 + -7t = 10

Solving
51 + -7t = 10

Solving for variable 't'.

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

Add '-51' to each side of the equation.
51 + -51 + -7t = 10 + -51

Combine like terms: 51 + -51 = 0
0 + -7t = 10 + -51
-7t = 10 + -51

Combine like terms: 10 + -51 = -41
-7t = -41

Divide each side by '-7'.
t = 5.857142857

Simplifying
t = 5.857142857