10a-[3a+2(b-3c)-6]=

Solution for 10a-[3a+2(b-3c)-6]= equation:

Simplifying
10a + -1[3a + 2(b + -3c) + -6] = 0
10a + -1[3a + (b * 2 + -3c * 2) + -6] = 0
10a + -1[3a + (2b + -6c) + -6] = 0

Reorder the terms:
10a + -1[-6 + 3a + 2b + -6c] = 0
10a + [-6 * -1 + 3a * -1 + 2b * -1 + -6c * -1] = 0
10a + [6 + -3a + -2b + 6c] = 0

Reorder the terms:
6 + 10a + -3a + -2b + 6c = 0

Combine like terms: 10a + -3a = 7a
6 + 7a + -2b + 6c = 0

Solving
6 + 7a + -2b + 6c = 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 + 7a + -2b + -6 + 6c = 0 + -6

Reorder the terms:
6 + -6 + 7a + -2b + 6c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7a + -2b + 6c = 0 + -6
7a + -2b + 6c = 0 + -6

Combine like terms: 0 + -6 = -6
7a + -2b + 6c = -6

Add '2b' to each side of the equation.
7a + -2b + 2b + 6c = -6 + 2b

Combine like terms: -2b + 2b = 0
7a + 0 + 6c = -6 + 2b
7a + 6c = -6 + 2b

Add '-6c' to each side of the equation.
7a + 6c + -6c = -6 + 2b + -6c

Combine like terms: 6c + -6c = 0
7a + 0 = -6 + 2b + -6c
7a = -6 + 2b + -6c

Divide each side by '7'.
a = -0.8571428571 + 0.2857142857b + -0.8571428571c

Simplifying
a = -0.8571428571 + 0.2857142857b + -0.8571428571c