5z+10=6z-10

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


Simplifying
5z + 10 = 6z + -10

Reorder the terms:
10 + 5z = 6z + -10

Reorder the terms:
10 + 5z = -10 + 6z

Solving
10 + 5z = -10 + 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 + 5z + -6z = -10 + 6z + -6z

Combine like terms: 5z + -6z = -1z
10 + -1z = -10 + 6z + -6z

Combine like terms: 6z + -6z = 0
10 + -1z = -10 + 0
10 + -1z = -10

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

Combine like terms: 10 + -10 = 0
0 + -1z = -10 + -10
-1z = -10 + -10

Combine like terms: -10 + -10 = -20
-1z = -20

Divide each side by '-1'.
z = 20

Simplifying
z = 20

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