6-3(5t-17)=-78

Solution for 6-3(5t-17)=-78 equation:

Simplifying
6 + -3(5t + -17) = -78

Reorder the terms:
6 + -3(-17 + 5t) = -78
6 + (-17 * -3 + 5t * -3) = -78
6 + (51 + -15t) = -78

Combine like terms: 6 + 51 = 57
57 + -15t = -78

Solving
57 + -15t = -78

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 + -15t = -78 + -57

Combine like terms: 57 + -57 = 0
0 + -15t = -78 + -57
-15t = -78 + -57

Combine like terms: -78 + -57 = -135
-15t = -135

Divide each side by '-15'.
t = 9

Simplifying
t = 9