-2(t-3)+6t=7t-2

Solution for -2(t-3)+6t=7t-2 equation:

Simplifying
-2(t + -3) + 6t = 7t + -2

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

Combine like terms: -2t + 6t = 4t
6 + 4t = 7t + -2

Reorder the terms:
6 + 4t = -2 + 7t

Solving
6 + 4t = -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 + 4t + -7t = -2 + 7t + -7t

Combine like terms: 4t + -7t = -3t
6 + -3t = -2 + 7t + -7t

Combine like terms: 7t + -7t = 0
6 + -3t = -2 + 0
6 + -3t = -2

Add '-6' to each side of the equation.
6 + -6 + -3t = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -3t = -2 + -6
-3t = -2 + -6

Combine like terms: -2 + -6 = -8
-3t = -8

Divide each side by '-3'.
t = 2.666666667

Simplifying
t = 2.666666667