27=a(1+(.04)(45))

Solution for 27=a(1+(.04)(45)) equation:

Simplifying
27 = a(1 + (0.04)(45))

Multiply 0.04 * 45
27 = a(1 + 1.8)

Combine like terms: 1 + 1.8 = 2.8
27 = a(2.8)

Reorder the terms for easier multiplication:
27 = 2.8a

Solving
27 = 2.8a

Solving for variable 'a'.

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

Add '-2.8a' to each side of the equation.
27 + -2.8a = 2.8a + -2.8a

Combine like terms: 2.8a + -2.8a = 0.0
27 + -2.8a = 0.0

Add '-27' to each side of the equation.
27 + -27 + -2.8a = 0.0 + -27

Combine like terms: 27 + -27 = 0
0 + -2.8a = 0.0 + -27
-2.8a = 0.0 + -27

Combine like terms: 0.0 + -27 = -27
-2.8a = -27

Divide each side by '-2.8'.
a = 9.642857143

Simplifying
a = 9.642857143