-2(t-3)+4t=6t-1

Solution for -2(t-3)+4t=6t-1 equation:

Simplifying
-2(t + -3) + 4t = 6t + -1

Reorder the terms:
-2(-3 + t) + 4t = 6t + -1
(-3 * -2 + t * -2) + 4t = 6t + -1
(6 + -2t) + 4t = 6t + -1

Combine like terms: -2t + 4t = 2t
6 + 2t = 6t + -1

Reorder the terms:
6 + 2t = -1 + 6t

Solving
6 + 2t = -1 + 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.
6 + 2t + -6t = -1 + 6t + -6t

Combine like terms: 2t + -6t = -4t
6 + -4t = -1 + 6t + -6t

Combine like terms: 6t + -6t = 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