-9t-3(4-t)=42

Solution for -9t-3(4-t)=42 equation:

Simplifying
-9t + -3(4 + -1t) = 42
-9t + (4 * -3 + -1t * -3) = 42
-9t + (-12 + 3t) = 42

Reorder the terms:
-12 + -9t + 3t = 42

Combine like terms: -9t + 3t = -6t
-12 + -6t = 42

Solving
-12 + -6t = 42

Solving for variable 't'.

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

Add '12' to each side of the equation.
-12 + 12 + -6t = 42 + 12

Combine like terms: -12 + 12 = 0
0 + -6t = 42 + 12
-6t = 42 + 12

Combine like terms: 42 + 12 = 54
-6t = 54

Divide each side by '-6'.
t = -9

Simplifying
t = -9