4(t+7)-3(2-t)=-20

Solution for 4(t+7)-3(2-t)=-20 equation:

Simplifying
4(t + 7) + -3(2 + -1t) = -20

Reorder the terms:
4(7 + t) + -3(2 + -1t) = -20
(7 * 4 + t * 4) + -3(2 + -1t) = -20
(28 + 4t) + -3(2 + -1t) = -20
28 + 4t + (2 * -3 + -1t * -3) = -20
28 + 4t + (-6 + 3t) = -20

Reorder the terms:
28 + -6 + 4t + 3t = -20

Combine like terms: 28 + -6 = 22
22 + 4t + 3t = -20

Combine like terms: 4t + 3t = 7t
22 + 7t = -20

Solving
22 + 7t = -20

Solving for variable 't'.

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

Add '-22' to each side of the equation.
22 + -22 + 7t = -20 + -22

Combine like terms: 22 + -22 = 0
0 + 7t = -20 + -22
7t = -20 + -22

Combine like terms: -20 + -22 = -42
7t = -42

Divide each side by '7'.
t = -6

Simplifying
t = -6