(-2a+7b)-(a+4b)=

Solution for (-2a+7b)-(a+4b)= equation:

Simplifying
(-2a + 7b) + -1(a + 4b) = 0

Remove parenthesis around (-2a + 7b)
-2a + 7b + -1(a + 4b) = 0
-2a + 7b + (a * -1 + 4b * -1) = 0
-2a + 7b + (-1a + -4b) = 0

Reorder the terms:
-2a + -1a + 7b + -4b = 0

Combine like terms: -2a + -1a = -3a
-3a + 7b + -4b = 0

Combine like terms: 7b + -4b = 3b
-3a + 3b = 0

Solving
-3a + 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.
-3a + 3b + -3b = 0 + -3b

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

Divide each side by '-3'.
a = b

Simplifying
a = b