4(a+10)=-a

Solution for 4(a+10)=-a equation:

Simplifying
4(a + 10) = -1a

Reorder the terms:
4(10 + a) = -1a
(10 * 4 + a * 4) = -1a
(40 + 4a) = -1a

Solving
40 + 4a = -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.
40 + 4a + a = -1a + a

Combine like terms: 4a + a = 5a
40 + 5a = -1a + a

Combine like terms: -1a + a = 0
40 + 5a = 0

Add '-40' to each side of the equation.
40 + -40 + 5a = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 5a = 0 + -40
5a = 0 + -40

Combine like terms: 0 + -40 = -40
5a = -40

Divide each side by '5'.
a = -8

Simplifying
a = -8