-7z+10=21+4z-8

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Solution for -7z+10=21+4z-8 equation:


Simplifying
-7z + 10 = 21 + 4z + -8

Reorder the terms:
10 + -7z = 21 + 4z + -8

Reorder the terms:
10 + -7z = 21 + -8 + 4z

Combine like terms: 21 + -8 = 13
10 + -7z = 13 + 4z

Solving
10 + -7z = 13 + 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.
10 + -7z + -4z = 13 + 4z + -4z

Combine like terms: -7z + -4z = -11z
10 + -11z = 13 + 4z + -4z

Combine like terms: 4z + -4z = 0
10 + -11z = 13 + 0
10 + -11z = 13

Add '-10' to each side of the equation.
10 + -10 + -11z = 13 + -10

Combine like terms: 10 + -10 = 0
0 + -11z = 13 + -10
-11z = 13 + -10

Combine like terms: 13 + -10 = 3
-11z = 3

Divide each side by '-11'.
z = -0.2727272727

Simplifying
z = -0.2727272727

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