6(t+1)=-4(t-5)

Solution for 6(t+1)=-4(t-5) equation:

Simplifying
6(t + 1) = -4(t + -5)

Reorder the terms:
6(1 + t) = -4(t + -5)
(1 * 6 + t * 6) = -4(t + -5)
(6 + 6t) = -4(t + -5)

Reorder the terms:
6 + 6t = -4(-5 + t)
6 + 6t = (-5 * -4 + t * -4)
6 + 6t = (20 + -4t)

Solving
6 + 6t = 20 + -4t

Solving for variable 't'.

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

Add '4t' to each side of the equation.
6 + 6t + 4t = 20 + -4t + 4t

Combine like terms: 6t + 4t = 10t
6 + 10t = 20 + -4t + 4t

Combine like terms: -4t + 4t = 0
6 + 10t = 20 + 0
6 + 10t = 20

Add '-6' to each side of the equation.
6 + -6 + 10t = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 10t = 20 + -6
10t = 20 + -6

Combine like terms: 20 + -6 = 14
10t = 14

Divide each side by '10'.
t = 1.4

Simplifying
t = 1.4