6[z-(8z+51)+9]=4(2+6)

Solution for 6[z-(8z+51)+9]=4(2+6) equation:

Simplifying
6[z + -1(8z + 51) + 9] = 4(2 + 6)

Reorder the terms:
6[z + -1(51 + 8z) + 9] = 4(2 + 6)
6[z + (51 * -1 + 8z * -1) + 9] = 4(2 + 6)
6[z + (-51 + -8z) + 9] = 4(2 + 6)

Reorder the terms:
6[-51 + 9 + z + -8z] = 4(2 + 6)

Combine like terms: -51 + 9 = -42
6[-42 + z + -8z] = 4(2 + 6)

Combine like terms: z + -8z = -7z
6[-42 + -7z] = 4(2 + 6)
[-42 * 6 + -7z * 6] = 4(2 + 6)
[-252 + -42z] = 4(2 + 6)

Combine like terms: 2 + 6 = 8
-252 + -42z = 4(8)

Multiply 4 * 8
-252 + -42z = 32

Solving
-252 + -42z = 32

Solving for variable 'z'.

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

Add '252' to each side of the equation.
-252 + 252 + -42z = 32 + 252

Combine like terms: -252 + 252 = 0
0 + -42z = 32 + 252
-42z = 32 + 252

Combine like terms: 32 + 252 = 284
-42z = 284

Divide each side by '-42'.
z = -6.761904762

Simplifying
z = -6.761904762