7(2+t)-3(t+1)=

Solution for 7(2+t)-3(t+1)= equation:

Simplifying
7(2 + t) + -3(t + 1) = 0
(2 * 7 + t * 7) + -3(t + 1) = 0
(14 + 7t) + -3(t + 1) = 0

Reorder the terms:
14 + 7t + -3(1 + t) = 0
14 + 7t + (1 * -3 + t * -3) = 0
14 + 7t + (-3 + -3t) = 0

Reorder the terms:
14 + -3 + 7t + -3t = 0

Combine like terms: 14 + -3 = 11
11 + 7t + -3t = 0

Combine like terms: 7t + -3t = 4t
11 + 4t = 0

Solving
11 + 4t = 0

Solving for variable 't'.

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

Add '-11' to each side of the equation.
11 + -11 + 4t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4t = 0 + -11
4t = 0 + -11

Combine like terms: 0 + -11 = -11
4t = -11

Divide each side by '4'.
t = -2.75

Simplifying
t = -2.75