-7(t-6)+4t=3(2+t)

Solution for -7(t-6)+4t=3(2+t) equation:

Simplifying
-7(t + -6) + 4t = 3(2 + t)

Reorder the terms:
-7(-6 + t) + 4t = 3(2 + t)
(-6 * -7 + t * -7) + 4t = 3(2 + t)
(42 + -7t) + 4t = 3(2 + t)

Combine like terms: -7t + 4t = -3t
42 + -3t = 3(2 + t)
42 + -3t = (2 * 3 + t * 3)
42 + -3t = (6 + 3t)

Solving
42 + -3t = 6 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
42 + -3t + -3t = 6 + 3t + -3t

Combine like terms: -3t + -3t = -6t
42 + -6t = 6 + 3t + -3t

Combine like terms: 3t + -3t = 0
42 + -6t = 6 + 0
42 + -6t = 6

Add '-42' to each side of the equation.
42 + -42 + -6t = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -6t = 6 + -42
-6t = 6 + -42

Combine like terms: 6 + -42 = -36
-6t = -36

Divide each side by '-6'.
t = 6

Simplifying
t = 6