6(4t+1)-14=t-(t-7)

Solution for 6(4t+1)-14=t-(t-7) equation:

Simplifying
6(4t + 1) + -14 = t + -1(t + -7)

Reorder the terms:
6(1 + 4t) + -14 = t + -1(t + -7)
(1 * 6 + 4t * 6) + -14 = t + -1(t + -7)
(6 + 24t) + -14 = t + -1(t + -7)

Reorder the terms:
6 + -14 + 24t = t + -1(t + -7)

Combine like terms: 6 + -14 = -8
-8 + 24t = t + -1(t + -7)

Reorder the terms:
-8 + 24t = t + -1(-7 + t)
-8 + 24t = t + (-7 * -1 + t * -1)
-8 + 24t = t + (7 + -1t)

Reorder the terms:
-8 + 24t = 7 + t + -1t

Combine like terms: t + -1t = 0
-8 + 24t = 7 + 0
-8 + 24t = 7

Solving
-8 + 24t = 7

Solving for variable 't'.

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

Add '8' to each side of the equation.
-8 + 8 + 24t = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 24t = 7 + 8
24t = 7 + 8

Combine like terms: 7 + 8 = 15
24t = 15

Divide each side by '24'.
t = 0.625

Simplifying
t = 0.625