-[4a+7b-(3a+5b)]=

Solution for -[4a+7b-(3a+5b)]= equation:

Simplifying
-1[4a + 7b + -1(3a + 5b)] = 0
-1[4a + 7b + (3a * -1 + 5b * -1)] = 0
-1[4a + 7b + (-3a + -5b)] = 0

Reorder the terms:
-1[4a + -3a + 7b + -5b] = 0

Combine like terms: 4a + -3a = 1a
-1[1a + 7b + -5b] = 0

Combine like terms: 7b + -5b = 2b
-1[1a + 2b] = 0
[1a * -1 + 2b * -1] = 0
[-1a + -2b] = 0

Solving
-1a + -2b = 0

Solving for variable 'a'.

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

Add '2b' to each side of the equation.
-1a + -2b + 2b = 0 + 2b

Combine like terms: -2b + 2b = 0
-1a + 0 = 0 + 2b
-1a = 0 + 2b
Remove the zero:
-1a = 2b

Divide each side by '-1'.
a = -2b

Simplifying
a = -2b