-3(5t-2)+9t=7t-2

Solution for -3(5t-2)+9t=7t-2 equation:

Simplifying
-3(5t + -2) + 9t = 7t + -2

Reorder the terms:
-3(-2 + 5t) + 9t = 7t + -2
(-2 * -3 + 5t * -3) + 9t = 7t + -2
(6 + -15t) + 9t = 7t + -2

Combine like terms: -15t + 9t = -6t
6 + -6t = 7t + -2

Reorder the terms:
6 + -6t = -2 + 7t

Solving
6 + -6t = -2 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
6 + -6t + -7t = -2 + 7t + -7t

Combine like terms: -6t + -7t = -13t
6 + -13t = -2 + 7t + -7t

Combine like terms: 7t + -7t = 0
6 + -13t = -2 + 0
6 + -13t = -2

Add '-6' to each side of the equation.
6 + -6 + -13t = -2 + -6

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

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

Divide each side by '-13'.
t = 0.6153846154

Simplifying
t = 0.6153846154