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

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

Simplifying
4a + 3(a + -2) = 8a + -1(6 + -1d)

Reorder the terms:
4a + 3(-2 + a) = 8a + -1(6 + -1d)
4a + (-2 * 3 + a * 3) = 8a + -1(6 + -1d)
4a + (-6 + 3a) = 8a + -1(6 + -1d)

Reorder the terms:
-6 + 4a + 3a = 8a + -1(6 + -1d)

Combine like terms: 4a + 3a = 7a
-6 + 7a = 8a + -1(6 + -1d)
-6 + 7a = 8a + (6 * -1 + -1d * -1)
-6 + 7a = 8a + (-6 + 1d)

Reorder the terms:
-6 + 7a = -6 + 8a + 1d

Add '6' to each side of the equation.
-6 + 6 + 7a = -6 + 8a + 6 + 1d

Combine like terms: -6 + 6 = 0
0 + 7a = -6 + 8a + 6 + 1d
7a = -6 + 8a + 6 + 1d

Reorder the terms:
7a = -6 + 6 + 8a + 1d

Combine like terms: -6 + 6 = 0
7a = 0 + 8a + 1d
7a = 8a + 1d

Solving
7a = 8a + 1d

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.
7a + -8a = 8a + -8a + 1d

Combine like terms: 7a + -8a = -1a
-1a = 8a + -8a + 1d

Combine like terms: 8a + -8a = 0
-1a = 0 + 1d
-1a = 1d

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

Simplifying
a = -1d