6+3(-3a+7)=-8a+35

Solution for 6+3(-3a+7)=-8a+35 equation:

Simplifying
6 + 3(-3a + 7) = -8a + 35

Reorder the terms:
6 + 3(7 + -3a) = -8a + 35
6 + (7 * 3 + -3a * 3) = -8a + 35
6 + (21 + -9a) = -8a + 35

Combine like terms: 6 + 21 = 27
27 + -9a = -8a + 35

Reorder the terms:
27 + -9a = 35 + -8a

Solving
27 + -9a = 35 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
27 + -9a + 8a = 35 + -8a + 8a

Combine like terms: -9a + 8a = -1a
27 + -1a = 35 + -8a + 8a

Combine like terms: -8a + 8a = 0
27 + -1a = 35 + 0
27 + -1a = 35

Add '-27' to each side of the equation.
27 + -27 + -1a = 35 + -27

Combine like terms: 27 + -27 = 0
0 + -1a = 35 + -27
-1a = 35 + -27

Combine like terms: 35 + -27 = 8
-1a = 8

Divide each side by '-1'.
a = -8

Simplifying
a = -8