-2(t-3)+7t=9t-1

Solution for -2(t-3)+7t=9t-1 equation:

Simplifying
-2(t + -3) + 7t = 9t + -1

Reorder the terms:
-2(-3 + t) + 7t = 9t + -1
(-3 * -2 + t * -2) + 7t = 9t + -1
(6 + -2t) + 7t = 9t + -1

Combine like terms: -2t + 7t = 5t
6 + 5t = 9t + -1

Reorder the terms:
6 + 5t = -1 + 9t

Solving
6 + 5t = -1 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
6 + 5t + -9t = -1 + 9t + -9t

Combine like terms: 5t + -9t = -4t
6 + -4t = -1 + 9t + -9t

Combine like terms: 9t + -9t = 0
6 + -4t = -1 + 0
6 + -4t = -1

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

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

Combine like terms: -1 + -6 = -7
-4t = -7

Divide each side by '-4'.
t = 1.75

Simplifying
t = 1.75