4+a=-(a-6)

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

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

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

Solving
4 + a = 6 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
4 + a + a = 6 + -1a + a

Combine like terms: a + a = 2a
4 + 2a = 6 + -1a + a

Combine like terms: -1a + a = 0
4 + 2a = 6 + 0
4 + 2a = 6

Add '-4' to each side of the equation.
4 + -4 + 2a = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 2a = 6 + -4
2a = 6 + -4

Combine like terms: 6 + -4 = 2
2a = 2

Divide each side by '2'.
a = 1

Simplifying
a = 1