-7(3+t)=(2t+6)

Solution for -7(3+t)=(2t+6) equation:

Simplifying
-7(3 + t) = (2t + 6)
(3 * -7 + t * -7) = (2t + 6)
(-21 + -7t) = (2t + 6)

Reorder the terms:
-21 + -7t = (6 + 2t)

Remove parenthesis around (6 + 2t)
-21 + -7t = 6 + 2t

Solving
-21 + -7t = 6 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-21 + -7t + -2t = 6 + 2t + -2t

Combine like terms: -7t + -2t = -9t
-21 + -9t = 6 + 2t + -2t

Combine like terms: 2t + -2t = 0
-21 + -9t = 6 + 0
-21 + -9t = 6

Add '21' to each side of the equation.
-21 + 21 + -9t = 6 + 21

Combine like terms: -21 + 21 = 0
0 + -9t = 6 + 21
-9t = 6 + 21

Combine like terms: 6 + 21 = 27
-9t = 27

Divide each side by '-9'.
t = -3

Simplifying
t = -3