6(7t+1)-13=t-(t+6)

Solution for 6(7t+1)-13=t-(t+6) equation:

Simplifying
6(7t + 1) + -13 = t + -1(t + 6)

Reorder the terms:
6(1 + 7t) + -13 = t + -1(t + 6)
(1 * 6 + 7t * 6) + -13 = t + -1(t + 6)
(6 + 42t) + -13 = t + -1(t + 6)

Reorder the terms:
6 + -13 + 42t = t + -1(t + 6)

Combine like terms: 6 + -13 = -7
-7 + 42t = t + -1(t + 6)

Reorder the terms:
-7 + 42t = t + -1(6 + t)
-7 + 42t = t + (6 * -1 + t * -1)
-7 + 42t = t + (-6 + -1t)

Reorder the terms:
-7 + 42t = -6 + t + -1t

Combine like terms: t + -1t = 0
-7 + 42t = -6 + 0
-7 + 42t = -6

Solving
-7 + 42t = -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 + 42t = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 42t = -6 + 7
42t = -6 + 7

Combine like terms: -6 + 7 = 1
42t = 1

Divide each side by '42'.
t = 0.02380952381

Simplifying
t = 0.02380952381