5(a+4)-5-6(a-9)=

Solution for 5(a+4)-5-6(a-9)= equation:

Simplifying
5(a + 4) + -5 + -6(a + -9) = 0

Reorder the terms:
5(4 + a) + -5 + -6(a + -9) = 0
(4 * 5 + a * 5) + -5 + -6(a + -9) = 0
(20 + 5a) + -5 + -6(a + -9) = 0

Reorder the terms:
20 + 5a + -5 + -6(-9 + a) = 0
20 + 5a + -5 + (-9 * -6 + a * -6) = 0
20 + 5a + -5 + (54 + -6a) = 0

Reorder the terms:
20 + -5 + 54 + 5a + -6a = 0

Combine like terms: 20 + -5 = 15
15 + 54 + 5a + -6a = 0

Combine like terms: 15 + 54 = 69
69 + 5a + -6a = 0

Combine like terms: 5a + -6a = -1a
69 + -1a = 0

Solving
69 + -1a = 0

Solving for variable 'a'.

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

Add '-69' to each side of the equation.
69 + -69 + -1a = 0 + -69

Combine like terms: 69 + -69 = 0
0 + -1a = 0 + -69
-1a = 0 + -69

Combine like terms: 0 + -69 = -69
-1a = -69

Divide each side by '-1'.
a = 69

Simplifying
a = 69