6(a-7)=3(4a+4)

Solution for 6(a-7)=3(4a+4) equation:

Simplifying
6(a + -7) = 3(4a + 4)

Reorder the terms:
6(-7 + a) = 3(4a + 4)
(-7 * 6 + a * 6) = 3(4a + 4)
(-42 + 6a) = 3(4a + 4)

Reorder the terms:
-42 + 6a = 3(4 + 4a)
-42 + 6a = (4 * 3 + 4a * 3)
-42 + 6a = (12 + 12a)

Solving
-42 + 6a = 12 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
-42 + 6a + -12a = 12 + 12a + -12a

Combine like terms: 6a + -12a = -6a
-42 + -6a = 12 + 12a + -12a

Combine like terms: 12a + -12a = 0
-42 + -6a = 12 + 0
-42 + -6a = 12

Add '42' to each side of the equation.
-42 + 42 + -6a = 12 + 42

Combine like terms: -42 + 42 = 0
0 + -6a = 12 + 42
-6a = 12 + 42

Combine like terms: 12 + 42 = 54
-6a = 54

Divide each side by '-6'.
a = -9

Simplifying
a = -9