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

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

Simplifying
-7(6 + -1t) = 3(t + 14)
(6 * -7 + -1t * -7) = 3(t + 14)
(-42 + 7t) = 3(t + 14)

Reorder the terms:
-42 + 7t = 3(14 + t)
-42 + 7t = (14 * 3 + t * 3)
-42 + 7t = (42 + 3t)

Solving
-42 + 7t = 42 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-42 + 7t + -3t = 42 + 3t + -3t

Combine like terms: 7t + -3t = 4t
-42 + 4t = 42 + 3t + -3t

Combine like terms: 3t + -3t = 0
-42 + 4t = 42 + 0
-42 + 4t = 42

Add '42' to each side of the equation.
-42 + 42 + 4t = 42 + 42

Combine like terms: -42 + 42 = 0
0 + 4t = 42 + 42
4t = 42 + 42

Combine like terms: 42 + 42 = 84
4t = 84

Divide each side by '4'.
t = 21

Simplifying
t = 21