6(-6t+1)=18-3(10t-20)

Solution for 6(-6t+1)=18-3(10t-20) equation:

Simplifying
6(-6t + 1) = 18 + -3(10t + -20)

Reorder the terms:
6(1 + -6t) = 18 + -3(10t + -20)
(1 * 6 + -6t * 6) = 18 + -3(10t + -20)
(6 + -36t) = 18 + -3(10t + -20)

Reorder the terms:
6 + -36t = 18 + -3(-20 + 10t)
6 + -36t = 18 + (-20 * -3 + 10t * -3)
6 + -36t = 18 + (60 + -30t)

Combine like terms: 18 + 60 = 78
6 + -36t = 78 + -30t

Solving
6 + -36t = 78 + -30t

Solving for variable 't'.

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

Add '30t' to each side of the equation.
6 + -36t + 30t = 78 + -30t + 30t

Combine like terms: -36t + 30t = -6t
6 + -6t = 78 + -30t + 30t

Combine like terms: -30t + 30t = 0
6 + -6t = 78 + 0
6 + -6t = 78

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

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

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

Divide each side by '-6'.
t = -12

Simplifying
t = -12