2.3a+3.5b-1.8a-2.7b simplify. Show work.

a = -1.6b

Step-by-step explanation:

Simplifying

2.3a + -1.8a + 3.5b + -2.7b = 0

Combine like terms: 2.3a + -1.8a = 0.5a

0.5a + 3.5b + -2.7b = 0

Combine like terms: 3.5b + -2.7b = 0.8b

0.5a + 0.8b = 0

Solving

0.5a + 0.8b = 0

Solving for variable 'a'.

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

Add '-0.8b' to each side of the equation.

0.5a + 0.8b + -0.8b = 0 + -0.8b

Combine like terms: 0.8b + -0.8b = 0.0

0.5a + 0.0 = 0 + -0.8b

0.5a = 0 + -0.8b

Remove the zero:

0.5a = -0.8b

Divide each side by '0.5'.

a = -1.6b