4(a+4)-5=-21

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Solution for 4(a+4)-5=-21 equation: 


Simplifying
4(a + 4) + -5 = -21

Reorder the terms:
4(4 + a) + -5 = -21
(4 * 4 + a * 4) + -5 = -21
(16 + 4a) + -5 = -21

Reorder the terms:
16 + -5 + 4a = -21

Combine like terms: 16 + -5 = 11
11 + 4a = -21

Solving
11 + 4a = -21

Solving for variable 'a'.

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

Add '-11' to each side of the equation.
11 + -11 + 4a = -21 + -11

Combine like terms: 11 + -11 = 0
0 + 4a = -21 + -11
4a = -21 + -11

Combine like terms: -21 + -11 = -32
4a = -32

Divide each side by '4'.
a = -8

Simplifying
a = -8

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