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

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

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

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

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

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

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

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

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

Solving
0 = -6 + 39a

Solving for variable 'a'.

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

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

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

Divide each side by '-39'.
a = 0.1538461538

Simplifying
a = 0.1538461538