a(t-1)+8t=6(t+2)

Solution for a(t-1)+8t=6(t+2) equation:

Simplifying
a(t + -1) + 8t = 6(t + 2)

Reorder the terms:
a(-1 + t) + 8t = 6(t + 2)
(-1 * a + t * a) + 8t = 6(t + 2)
(-1a + at) + 8t = 6(t + 2)

Reorder the terms:
-1a + at + 8t = 6(2 + t)
-1a + at + 8t = (2 * 6 + t * 6)
-1a + at + 8t = (12 + 6t)

Solving
-1a + at + 8t = 12 + 6t

Solving for variable 'a'.

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

Add '-8t' to each side of the equation.
-1a + at + 8t + -8t = 12 + 6t + -8t

Combine like terms: 8t + -8t = 0
-1a + at + 0 = 12 + 6t + -8t
-1a + at = 12 + 6t + -8t

Combine like terms: 6t + -8t = -2t
-1a + at = 12 + -2t

Reorder the terms:
-12 + -1a + at + 2t = 12 + -2t + -12 + 2t

Reorder the terms:
-12 + -1a + at + 2t = 12 + -12 + -2t + 2t

Combine like terms: 12 + -12 = 0
-12 + -1a + at + 2t = 0 + -2t + 2t
-12 + -1a + at + 2t = -2t + 2t

Combine like terms: -2t + 2t = 0
-12 + -1a + at + 2t = 0

The solution to this equation could not be determined.