-[3Z-(8Z+1)]=1+(4Z+8)

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Solution for -[3Z-(8Z+1)]=1+(4Z+8) equation:


Simplifying
-1[3Z + -1(8Z + 1)] = 1 + (4Z + 8)

Reorder the terms:
-1[3Z + -1(1 + 8Z)] = 1 + (4Z + 8)
-1[3Z + (1 * -1 + 8Z * -1)] = 1 + (4Z + 8)
-1[3Z + (-1 + -8Z)] = 1 + (4Z + 8)

Reorder the terms:
-1[-1 + 3Z + -8Z] = 1 + (4Z + 8)

Combine like terms: 3Z + -8Z = -5Z
-1[-1 + -5Z] = 1 + (4Z + 8)
[-1 * -1 + -5Z * -1] = 1 + (4Z + 8)
[1 + 5Z] = 1 + (4Z + 8)

Reorder the terms:
1 + 5Z = 1 + (8 + 4Z)

Remove parenthesis around (8 + 4Z)
1 + 5Z = 1 + 8 + 4Z

Combine like terms: 1 + 8 = 9
1 + 5Z = 9 + 4Z

Solving
1 + 5Z = 9 + 4Z

Solving for variable 'Z'.

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

Add '-4Z' to each side of the equation.
1 + 5Z + -4Z = 9 + 4Z + -4Z

Combine like terms: 5Z + -4Z = 1Z
1 + 1Z = 9 + 4Z + -4Z

Combine like terms: 4Z + -4Z = 0
1 + 1Z = 9 + 0
1 + 1Z = 9

Add '-1' to each side of the equation.
1 + -1 + 1Z = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 1Z = 9 + -1
1Z = 9 + -1

Combine like terms: 9 + -1 = 8
1Z = 8

Divide each side by '1'.
Z = 8

Simplifying
Z = 8

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