6(7t+1)-16=t-(t+9)

Solution for 6(7t+1)-16=t-(t+9) equation:

Simplifying
6(7t + 1) + -16 = t + -1(t + 9)

Reorder the terms:
6(1 + 7t) + -16 = t + -1(t + 9)
(1 * 6 + 7t * 6) + -16 = t + -1(t + 9)
(6 + 42t) + -16 = t + -1(t + 9)

Reorder the terms:
6 + -16 + 42t = t + -1(t + 9)

Combine like terms: 6 + -16 = -10
-10 + 42t = t + -1(t + 9)

Reorder the terms:
-10 + 42t = t + -1(9 + t)
-10 + 42t = t + (9 * -1 + t * -1)
-10 + 42t = t + (-9 + -1t)

Reorder the terms:
-10 + 42t = -9 + t + -1t

Combine like terms: t + -1t = 0
-10 + 42t = -9 + 0
-10 + 42t = -9

Solving
-10 + 42t = -9

Solving for variable 't'.

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

Add '10' to each side of the equation.
-10 + 10 + 42t = -9 + 10

Combine like terms: -10 + 10 = 0
0 + 42t = -9 + 10
42t = -9 + 10

Combine like terms: -9 + 10 = 1
42t = 1

Divide each side by '42'.
t = 0.02380952381

Simplifying
t = 0.02380952381