5a+6=-6(6a-1)

Solution for 5a+6=-6(6a-1) equation:

Simplifying
5a + 6 = -6(6a + -1)

Reorder the terms:
6 + 5a = -6(6a + -1)

Reorder the terms:
6 + 5a = -6(-1 + 6a)
6 + 5a = (-1 * -6 + 6a * -6)
6 + 5a = (6 + -36a)

Add '-6' to each side of the equation.
6 + -6 + 5a = 6 + -6 + -36a

Combine like terms: 6 + -6 = 0
0 + 5a = 6 + -6 + -36a
5a = 6 + -6 + -36a

Combine like terms: 6 + -6 = 0
5a = 0 + -36a
5a = -36a

Solving
5a = -36a

Solving for variable 'a'.

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

Add '36a' to each side of the equation.
5a + 36a = -36a + 36a

Combine like terms: 5a + 36a = 41a
41a = -36a + 36a

Combine like terms: -36a + 36a = 0
41a = 0

Divide each side by '41'.
a = 0

Simplifying
a = 0