-7(t+9)+2t=6+t

Solution for -7(t+9)+2t=6+t equation:

Simplifying
-7(t + 9) + 2t = 6 + t

Reorder the terms:
-7(9 + t) + 2t = 6 + t
(9 * -7 + t * -7) + 2t = 6 + t
(-63 + -7t) + 2t = 6 + t

Combine like terms: -7t + 2t = -5t
-63 + -5t = 6 + t

Solving
-63 + -5t = 6 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-63 + -5t + -1t = 6 + t + -1t

Combine like terms: -5t + -1t = -6t
-63 + -6t = 6 + t + -1t

Combine like terms: t + -1t = 0
-63 + -6t = 6 + 0
-63 + -6t = 6

Add '63' to each side of the equation.
-63 + 63 + -6t = 6 + 63

Combine like terms: -63 + 63 = 0
0 + -6t = 6 + 63
-6t = 6 + 63

Combine like terms: 6 + 63 = 69
-6t = 69

Divide each side by '-6'.
t = -11.5

Simplifying
t = -11.5