6(7a-1)=8(4a+11)

Solution for 6(7a-1)=8(4a+11) equation:

Simplifying
6(7a + -1) = 8(4a + 11)

Reorder the terms:
6(-1 + 7a) = 8(4a + 11)
(-1 * 6 + 7a * 6) = 8(4a + 11)
(-6 + 42a) = 8(4a + 11)

Reorder the terms:
-6 + 42a = 8(11 + 4a)
-6 + 42a = (11 * 8 + 4a * 8)
-6 + 42a = (88 + 32a)

Solving
-6 + 42a = 88 + 32a

Solving for variable 'a'.

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

Add '-32a' to each side of the equation.
-6 + 42a + -32a = 88 + 32a + -32a

Combine like terms: 42a + -32a = 10a
-6 + 10a = 88 + 32a + -32a

Combine like terms: 32a + -32a = 0
-6 + 10a = 88 + 0
-6 + 10a = 88

Add '6' to each side of the equation.
-6 + 6 + 10a = 88 + 6

Combine like terms: -6 + 6 = 0
0 + 10a = 88 + 6
10a = 88 + 6

Combine like terms: 88 + 6 = 94
10a = 94

Divide each side by '10'.
a = 9.4

Simplifying
a = 9.4