6[t-1]=9[t-4]

Solution for 6[t-1]=9[t-4] equation:

Simplifying
6[t + -1] = 9[t + -4]

Reorder the terms:
6[-1 + t] = 9[t + -4]
[-1 * 6 + t * 6] = 9[t + -4]
[-6 + 6t] = 9[t + -4]

Reorder the terms:
-6 + 6t = 9[-4 + t]
-6 + 6t = [-4 * 9 + t * 9]
-6 + 6t = [-36 + 9t]

Solving
-6 + 6t = -36 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
-6 + 6t + -9t = -36 + 9t + -9t

Combine like terms: 6t + -9t = -3t
-6 + -3t = -36 + 9t + -9t

Combine like terms: 9t + -9t = 0
-6 + -3t = -36 + 0
-6 + -3t = -36

Add '6' to each side of the equation.
-6 + 6 + -3t = -36 + 6

Combine like terms: -6 + 6 = 0
0 + -3t = -36 + 6
-3t = -36 + 6

Combine like terms: -36 + 6 = -30
-3t = -30

Divide each side by '-3'.
t = 10

Simplifying
t = 10