6a(3+4)-3(a+2)=

Solution for 6a(3+4)-3(a+2)= equation:

Simplifying
6a(3 + 4) + -3(a + 2) = 0

Combine like terms: 3 + 4 = 7
6a(7) + -3(a + 2) = 0

Reorder the terms for easier multiplication:
6 * 7a + -3(a + 2) = 0

Multiply 6 * 7
42a + -3(a + 2) = 0

Reorder the terms:
42a + -3(2 + a) = 0
42a + (2 * -3 + a * -3) = 0
42a + (-6 + -3a) = 0

Reorder the terms:
-6 + 42a + -3a = 0

Combine like terms: 42a + -3a = 39a
-6 + 39a = 0

Solving
-6 + 39a = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 39a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 39a = 0 + 6
39a = 0 + 6

Combine like terms: 0 + 6 = 6
39a = 6

Divide each side by '39'.
a = 0.1538461538

Simplifying
a = 0.1538461538