(7t-21)+(-2t-16)=-22

Solution for (7t-21)+(-2t-16)=-22 equation:

Simplifying
(7t + -21) + (-2t + -16) = -22

Reorder the terms:
(-21 + 7t) + (-2t + -16) = -22

Remove parenthesis around (-21 + 7t)
-21 + 7t + (-2t + -16) = -22

Reorder the terms:
-21 + 7t + (-16 + -2t) = -22

Remove parenthesis around (-16 + -2t)
-21 + 7t + -16 + -2t = -22

Reorder the terms:
-21 + -16 + 7t + -2t = -22

Combine like terms: -21 + -16 = -37
-37 + 7t + -2t = -22

Combine like terms: 7t + -2t = 5t
-37 + 5t = -22

Solving
-37 + 5t = -22

Solving for variable 't'.

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

Add '37' to each side of the equation.
-37 + 37 + 5t = -22 + 37

Combine like terms: -37 + 37 = 0
0 + 5t = -22 + 37
5t = -22 + 37

Combine like terms: -22 + 37 = 15
5t = 15

Divide each side by '5'.
t = 3

Simplifying
t = 3