7(t+4)+3(1+t)=-19

Solution for 7(t+4)+3(1+t)=-19 equation:

Simplifying
7(t + 4) + 3(1 + t) = -19

Reorder the terms:
7(4 + t) + 3(1 + t) = -19
(4 * 7 + t * 7) + 3(1 + t) = -19
(28 + 7t) + 3(1 + t) = -19
28 + 7t + (1 * 3 + t * 3) = -19
28 + 7t + (3 + 3t) = -19

Reorder the terms:
28 + 3 + 7t + 3t = -19

Combine like terms: 28 + 3 = 31
31 + 7t + 3t = -19

Combine like terms: 7t + 3t = 10t
31 + 10t = -19

Solving
31 + 10t = -19

Solving for variable 't'.

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

Add '-31' to each side of the equation.
31 + -31 + 10t = -19 + -31

Combine like terms: 31 + -31 = 0
0 + 10t = -19 + -31
10t = -19 + -31

Combine like terms: -19 + -31 = -50
10t = -50

Divide each side by '10'.
t = -5

Simplifying
t = -5