3(6t+1)-0=t-(t+6)

Solution for 3(6t+1)-0=t-(t+6) equation:

Simplifying
3(6t + 1) + 0 = t + -1(t + 6)

Reorder the terms:
3(1 + 6t) + 0 = t + -1(t + 6)
(1 * 3 + 6t * 3) + 0 = t + -1(t + 6)
(3 + 18t) + 0 = t + -1(t + 6)

Reorder the terms:
3 + 0 + 18t = t + -1(t + 6)

Combine like terms: 3 + 0 = 3
3 + 18t = t + -1(t + 6)

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

Reorder the terms:
3 + 18t = -6 + t + -1t

Combine like terms: t + -1t = 0
3 + 18t = -6 + 0
3 + 18t = -6

Solving
3 + 18t = -6

Solving for variable 't'.

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

Add '-3' to each side of the equation.
3 + -3 + 18t = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 18t = -6 + -3
18t = -6 + -3

Combine like terms: -6 + -3 = -9
18t = -9

Divide each side by '18'.
t = -0.5

Simplifying
t = -0.5