3+8(t-9)=6(t+2)+1

Solution for 3+8(t-9)=6(t+2)+1 equation:

Simplifying
3 + 8(t + -9) = 6(t + 2) + 1

Reorder the terms:
3 + 8(-9 + t) = 6(t + 2) + 1
3 + (-9 * 8 + t * 8) = 6(t + 2) + 1
3 + (-72 + 8t) = 6(t + 2) + 1

Combine like terms: 3 + -72 = -69
-69 + 8t = 6(t + 2) + 1

Reorder the terms:
-69 + 8t = 6(2 + t) + 1
-69 + 8t = (2 * 6 + t * 6) + 1
-69 + 8t = (12 + 6t) + 1

Reorder the terms:
-69 + 8t = 12 + 1 + 6t

Combine like terms: 12 + 1 = 13
-69 + 8t = 13 + 6t

Solving
-69 + 8t = 13 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
-69 + 8t + -6t = 13 + 6t + -6t

Combine like terms: 8t + -6t = 2t
-69 + 2t = 13 + 6t + -6t

Combine like terms: 6t + -6t = 0
-69 + 2t = 13 + 0
-69 + 2t = 13

Add '69' to each side of the equation.
-69 + 69 + 2t = 13 + 69

Combine like terms: -69 + 69 = 0
0 + 2t = 13 + 69
2t = 13 + 69

Combine like terms: 13 + 69 = 82
2t = 82

Divide each side by '2'.
t = 41

Simplifying
t = 41