2(3t+1)-9=t-(t+6)

Solution for 2(3t+1)-9=t-(t+6) equation:

Simplifying
2(3t + 1) + -9 = t + -1(t + 6)

Reorder the terms:
2(1 + 3t) + -9 = t + -1(t + 6)
(1 * 2 + 3t * 2) + -9 = t + -1(t + 6)
(2 + 6t) + -9 = t + -1(t + 6)

Reorder the terms:
2 + -9 + 6t = t + -1(t + 6)

Combine like terms: 2 + -9 = -7
-7 + 6t = t + -1(t + 6)

Reorder the terms:
-7 + 6t = t + -1(6 + t)
-7 + 6t = t + (6 * -1 + t * -1)
-7 + 6t = t + (-6 + -1t)

Reorder the terms:
-7 + 6t = -6 + t + -1t

Combine like terms: t + -1t = 0
-7 + 6t = -6 + 0
-7 + 6t = -6

Solving
-7 + 6t = -6

Solving for variable 't'.

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

Add '7' to each side of the equation.
-7 + 7 + 6t = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 6t = -6 + 7
6t = -6 + 7

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

Divide each side by '6'.
t = 0.1666666667

Simplifying
t = 0.1666666667