6(-t+1)=3(5t+5)

Solution for 6(-t+1)=3(5t+5) equation:

Simplifying
6(-1t + 1) = 3(5t + 5)

Reorder the terms:
6(1 + -1t) = 3(5t + 5)
(1 * 6 + -1t * 6) = 3(5t + 5)
(6 + -6t) = 3(5t + 5)

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

Solving
6 + -6t = 15 + 15t

Solving for variable 't'.

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

Add '-15t' to each side of the equation.
6 + -6t + -15t = 15 + 15t + -15t

Combine like terms: -6t + -15t = -21t
6 + -21t = 15 + 15t + -15t

Combine like terms: 15t + -15t = 0
6 + -21t = 15 + 0
6 + -21t = 15

Add '-6' to each side of the equation.
6 + -6 + -21t = 15 + -6

Combine like terms: 6 + -6 = 0
0 + -21t = 15 + -6
-21t = 15 + -6

Combine like terms: 15 + -6 = 9
-21t = 9

Divide each side by '-21'.
t = -0.4285714286

Simplifying
t = -0.4285714286