Z-6-7(z-5)+(6z+1)=

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Solution for Z-6-7(z-5)+(6z+1)= equation:


Simplifying
Z + -6 + -7(z + -5) + (6z + 1) = 0

Reorder the terms:
Z + -6 + -7(-5 + z) + (6z + 1) = 0
Z + -6 + (-5 * -7 + z * -7) + (6z + 1) = 0
Z + -6 + (35 + -7z) + (6z + 1) = 0

Reorder the terms:
Z + -6 + 35 + -7z + (1 + 6z) = 0

Remove parenthesis around (1 + 6z)
Z + -6 + 35 + -7z + 1 + 6z = 0

Reorder the terms:
-6 + 35 + 1 + Z + -7z + 6z = 0

Combine like terms: -6 + 35 = 29
29 + 1 + Z + -7z + 6z = 0

Combine like terms: 29 + 1 = 30
30 + Z + -7z + 6z = 0

Combine like terms: -7z + 6z = -1z
30 + Z + -1z = 0

Solving
30 + Z + -1z = 0

Solving for variable 'Z'.

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

Add '-30' to each side of the equation.
30 + Z + -30 + -1z = 0 + -30

Reorder the terms:
30 + -30 + Z + -1z = 0 + -30

Combine like terms: 30 + -30 = 0
0 + Z + -1z = 0 + -30
Z + -1z = 0 + -30

Combine like terms: 0 + -30 = -30
Z + -1z = -30

Add 'z' to each side of the equation.
Z + -1z + z = -30 + z

Combine like terms: -1z + z = 0
Z + 0 = -30 + z
Z = -30 + z

Simplifying
Z = -30 + z

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