4(3z-1)-a(z-7)=5(z+1)

Solution for 4(3z-1)-a(z-7)=5(z+1) equation:

Simplifying
4(3z + -1) + -1a(z + -7) = 5(z + 1)

Reorder the terms:
4(-1 + 3z) + -1a(z + -7) = 5(z + 1)
(-1 * 4 + 3z * 4) + -1a(z + -7) = 5(z + 1)
(-4 + 12z) + -1a(z + -7) = 5(z + 1)

Reorder the terms:
-4 + 12z + -1a(-7 + z) = 5(z + 1)
-4 + 12z + (-7 * -1a + z * -1a) = 5(z + 1)
-4 + 12z + (7a + -1az) = 5(z + 1)

Reorder the terms:
-4 + 7a + -1az + 12z = 5(z + 1)

Reorder the terms:
-4 + 7a + -1az + 12z = 5(1 + z)
-4 + 7a + -1az + 12z = (1 * 5 + z * 5)
-4 + 7a + -1az + 12z = (5 + 5z)

Solving
-4 + 7a + -1az + 12z = 5 + 5z

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 7a + -1az + 4 + 12z = 5 + 4 + 5z

Reorder the terms:
-4 + 4 + 7a + -1az + 12z = 5 + 4 + 5z

Combine like terms: -4 + 4 = 0
0 + 7a + -1az + 12z = 5 + 4 + 5z
7a + -1az + 12z = 5 + 4 + 5z

Combine like terms: 5 + 4 = 9
7a + -1az + 12z = 9 + 5z

Add '-12z' to each side of the equation.
7a + -1az + 12z + -12z = 9 + 5z + -12z

Combine like terms: 12z + -12z = 0
7a + -1az + 0 = 9 + 5z + -12z
7a + -1az = 9 + 5z + -12z

Combine like terms: 5z + -12z = -7z
7a + -1az = 9 + -7z

Reorder the terms:
-9 + 7a + -1az + 7z = 9 + -7z + -9 + 7z

Reorder the terms:
-9 + 7a + -1az + 7z = 9 + -9 + -7z + 7z

Combine like terms: 9 + -9 = 0
-9 + 7a + -1az + 7z = 0 + -7z + 7z
-9 + 7a + -1az + 7z = -7z + 7z

Combine like terms: -7z + 7z = 0
-9 + 7a + -1az + 7z = 0

The solution to this equation could not be determined.