-2a(t-4)=10-2t

Solution for -2a(t-4)=10-2t equation:

Simplifying
-2a(t + -4) = 10 + -2t

Reorder the terms:
-2a(-4 + t) = 10 + -2t
(-4 * -2a + t * -2a) = 10 + -2t
(8a + -2at) = 10 + -2t

Solving
8a + -2at = 10 + -2t

Solving for variable 'a'.

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

Reorder the terms:
-10 + 8a + -2at + 2t = 10 + -2t + -10 + 2t

Reorder the terms:
-10 + 8a + -2at + 2t = 10 + -10 + -2t + 2t

Combine like terms: 10 + -10 = 0
-10 + 8a + -2at + 2t = 0 + -2t + 2t
-10 + 8a + -2at + 2t = -2t + 2t

Combine like terms: -2t + 2t = 0
-10 + 8a + -2at + 2t = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 4a + -1at + t) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + 4a + -1at + t)' equal to zero and attempt to solve:

Simplifying
-5 + 4a + -1at + t = 0

Solving
-5 + 4a + -1at + t = 0

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

Add '5' to each side of the equation.
-5 + 4a + -1at + 5 + t = 0 + 5

Reorder the terms:
-5 + 5 + 4a + -1at + t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4a + -1at + t = 0 + 5
4a + -1at + t = 0 + 5

Combine like terms: 0 + 5 = 5
4a + -1at + t = 5

Add '-1t' to each side of the equation.
4a + -1at + t + -1t = 5 + -1t

Combine like terms: t + -1t = 0
4a + -1at + 0 = 5 + -1t
4a + -1at = 5 + -1t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.