(4a+2b)-(0.5a-1b)=

Solution for (4a+2b)-(0.5a-1b)= equation:

Simplifying
(4a + 2b) + -1(0.5a + -1b) = 0

Remove parenthesis around (4a + 2b)
4a + 2b + -1(0.5a + -1b) = 0
4a + 2b + (0.5a * -1 + -1b * -1) = 0
4a + 2b + (-0.5a + 1b) = 0

Reorder the terms:
4a + -0.5a + 2b + 1b = 0

Combine like terms: 4a + -0.5a = 3.5a
3.5a + 2b + 1b = 0

Combine like terms: 2b + 1b = 3b
3.5a + 3b = 0

Solving
3.5a + 3b = 0

Solving for variable 'a'.

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

Add '-3b' to each side of the equation.
3.5a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
3.5a + 0 = 0 + -3b
3.5a = 0 + -3b
Remove the zero:
3.5a = -3b

Divide each side by '3.5'.
a = -0.8571428571b

Simplifying
a = -0.8571428571b