3(t+4)-2(2t+3)=-4

Solution for 3(t+4)-2(2t+3)=-4 equation:

Simplifying
3(t + 4) + -2(2t + 3) = -4

Reorder the terms:
3(4 + t) + -2(2t + 3) = -4
(4 * 3 + t * 3) + -2(2t + 3) = -4
(12 + 3t) + -2(2t + 3) = -4

Reorder the terms:
12 + 3t + -2(3 + 2t) = -4
12 + 3t + (3 * -2 + 2t * -2) = -4
12 + 3t + (-6 + -4t) = -4

Reorder the terms:
12 + -6 + 3t + -4t = -4

Combine like terms: 12 + -6 = 6
6 + 3t + -4t = -4

Combine like terms: 3t + -4t = -1t
6 + -1t = -4

Solving
6 + -1t = -4

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + -1t = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = -4 + -6
-1t = -4 + -6

Combine like terms: -4 + -6 = -10
-1t = -10

Divide each side by '-1'.
t = 10

Simplifying
t = 10