10-z=6(z+5)

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Solution for 10-z=6(z+5) equation:


Simplifying
10 + -1z = 6(z + 5)

Reorder the terms:
10 + -1z = 6(5 + z)
10 + -1z = (5 * 6 + z * 6)
10 + -1z = (30 + 6z)

Solving
10 + -1z = 30 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
10 + -1z + -6z = 30 + 6z + -6z

Combine like terms: -1z + -6z = -7z
10 + -7z = 30 + 6z + -6z

Combine like terms: 6z + -6z = 0
10 + -7z = 30 + 0
10 + -7z = 30

Add '-10' to each side of the equation.
10 + -10 + -7z = 30 + -10

Combine like terms: 10 + -10 = 0
0 + -7z = 30 + -10
-7z = 30 + -10

Combine like terms: 30 + -10 = 20
-7z = 20

Divide each side by '-7'.
z = -2.857142857

Simplifying
z = -2.857142857

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