-4(a+2)+6(a+8)-3(a-6)=

Solution for -4(a+2)+6(a+8)-3(a-6)= equation:

Simplifying
-4(a + 2) + 6(a + 8) + -3(a + -6) = 0

Reorder the terms:
-4(2 + a) + 6(a + 8) + -3(a + -6) = 0
(2 * -4 + a * -4) + 6(a + 8) + -3(a + -6) = 0
(-8 + -4a) + 6(a + 8) + -3(a + -6) = 0

Reorder the terms:
-8 + -4a + 6(8 + a) + -3(a + -6) = 0
-8 + -4a + (8 * 6 + a * 6) + -3(a + -6) = 0
-8 + -4a + (48 + 6a) + -3(a + -6) = 0

Reorder the terms:
-8 + -4a + 48 + 6a + -3(-6 + a) = 0
-8 + -4a + 48 + 6a + (-6 * -3 + a * -3) = 0
-8 + -4a + 48 + 6a + (18 + -3a) = 0

Reorder the terms:
-8 + 48 + 18 + -4a + 6a + -3a = 0

Combine like terms: -8 + 48 = 40
40 + 18 + -4a + 6a + -3a = 0

Combine like terms: 40 + 18 = 58
58 + -4a + 6a + -3a = 0

Combine like terms: -4a + 6a = 2a
58 + 2a + -3a = 0

Combine like terms: 2a + -3a = -1a
58 + -1a = 0

Solving
58 + -1a = 0

Solving for variable 'a'.

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

Add '-58' to each side of the equation.
58 + -58 + -1a = 0 + -58

Combine like terms: 58 + -58 = 0
0 + -1a = 0 + -58
-1a = 0 + -58

Combine like terms: 0 + -58 = -58
-1a = -58

Divide each side by '-1'.
a = 58

Simplifying
a = 58