4(a+2b)-3(2a-b)+6a-7b=

Solution for 4(a+2b)-3(2a-b)+6a-7b= equation:

Simplifying
4(a + 2b) + -3(2a + -1b) + 6a + -7b = 0
(a * 4 + 2b * 4) + -3(2a + -1b) + 6a + -7b = 0
(4a + 8b) + -3(2a + -1b) + 6a + -7b = 0
4a + 8b + (2a * -3 + -1b * -3) + 6a + -7b = 0
4a + 8b + (-6a + 3b) + 6a + -7b = 0

Reorder the terms:
4a + -6a + 6a + 8b + 3b + -7b = 0

Combine like terms: 4a + -6a = -2a
-2a + 6a + 8b + 3b + -7b = 0

Combine like terms: -2a + 6a = 4a
4a + 8b + 3b + -7b = 0

Combine like terms: 8b + 3b = 11b
4a + 11b + -7b = 0

Combine like terms: 11b + -7b = 4b
4a + 4b = 0

Solving
4a + 4b = 0

Solving for variable 'a'.

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

Add '-4b' to each side of the equation.
4a + 4b + -4b = 0 + -4b

Combine like terms: 4b + -4b = 0
4a + 0 = 0 + -4b
4a = 0 + -4b
Remove the zero:
4a = -4b

Divide each side by '4'.
a = -1b

Simplifying
a = -1b