-[3z-(8z+1)]=1+(4z+7)

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Solution for -[3z-(8z+1)]=1+(4z+7) equation:


Simplifying
-1[3z + -1(8z + 1)] = 1 + (4z + 7)

Reorder the terms:
-1[3z + -1(1 + 8z)] = 1 + (4z + 7)
-1[3z + (1 * -1 + 8z * -1)] = 1 + (4z + 7)
-1[3z + (-1 + -8z)] = 1 + (4z + 7)

Reorder the terms:
-1[-1 + 3z + -8z] = 1 + (4z + 7)

Combine like terms: 3z + -8z = -5z
-1[-1 + -5z] = 1 + (4z + 7)
[-1 * -1 + -5z * -1] = 1 + (4z + 7)
[1 + 5z] = 1 + (4z + 7)

Reorder the terms:
1 + 5z = 1 + (7 + 4z)

Remove parenthesis around (7 + 4z)
1 + 5z = 1 + 7 + 4z

Combine like terms: 1 + 7 = 8
1 + 5z = 8 + 4z

Solving
1 + 5z = 8 + 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 = 8 + 4z + -4z

Combine like terms: 5z + -4z = 1z
1 + 1z = 8 + 4z + -4z

Combine like terms: 4z + -4z = 0
1 + 1z = 8 + 0
1 + 1z = 8

Add '-1' to each side of the equation.
1 + -1 + 1z = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 1z = 8 + -1
1z = 8 + -1

Combine like terms: 8 + -1 = 7
1z = 7

Divide each side by '1'.
z = 7

Simplifying
z = 7

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