7(3t+1)-14=t-(t+6)

Solution for 7(3t+1)-14=t-(t+6) equation:

Simplifying
7(3t + 1) + -14 = t + -1(t + 6)

Reorder the terms:
7(1 + 3t) + -14 = t + -1(t + 6)
(1 * 7 + 3t * 7) + -14 = t + -1(t + 6)
(7 + 21t) + -14 = t + -1(t + 6)

Reorder the terms:
7 + -14 + 21t = t + -1(t + 6)

Combine like terms: 7 + -14 = -7
-7 + 21t = t + -1(t + 6)

Reorder the terms:
-7 + 21t = t + -1(6 + t)
-7 + 21t = t + (6 * -1 + t * -1)
-7 + 21t = t + (-6 + -1t)

Reorder the terms:
-7 + 21t = -6 + t + -1t

Combine like terms: t + -1t = 0
-7 + 21t = -6 + 0
-7 + 21t = -6

Solving
-7 + 21t = -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 + 21t = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 21t = -6 + 7
21t = -6 + 7

Combine like terms: -6 + 7 = 1
21t = 1

Divide each side by '21'.
t = 0.04761904762

Simplifying
t = 0.04761904762