6-3(a-2b)+7(5a-3b)=

Solution for 6-3(a-2b)+7(5a-3b)= equation:

Simplifying
6 + -3(a + -2b) + 7(5a + -3b) = 0
6 + (a * -3 + -2b * -3) + 7(5a + -3b) = 0
6 + (-3a + 6b) + 7(5a + -3b) = 0
6 + -3a + 6b + (5a * 7 + -3b * 7) = 0
6 + -3a + 6b + (35a + -21b) = 0

Reorder the terms:
6 + -3a + 35a + 6b + -21b = 0

Combine like terms: -3a + 35a = 32a
6 + 32a + 6b + -21b = 0

Combine like terms: 6b + -21b = -15b
6 + 32a + -15b = 0

Solving
6 + 32a + -15b = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + 32a + -6 + -15b = 0 + -6

Reorder the terms:
6 + -6 + 32a + -15b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 32a + -15b = 0 + -6
32a + -15b = 0 + -6

Combine like terms: 0 + -6 = -6
32a + -15b = -6

Add '15b' to each side of the equation.
32a + -15b + 15b = -6 + 15b

Combine like terms: -15b + 15b = 0
32a + 0 = -6 + 15b
32a = -6 + 15b

Divide each side by '32'.
a = -0.1875 + 0.46875b

Simplifying
a = -0.1875 + 0.46875b