4z+16=5z+10

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Solution for 4z+16=5z+10 equation:


Simplifying
4z + 16 = 5z + 10

Reorder the terms:
16 + 4z = 5z + 10

Reorder the terms:
16 + 4z = 10 + 5z

Solving
16 + 4z = 10 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
16 + 4z + -5z = 10 + 5z + -5z

Combine like terms: 4z + -5z = -1z
16 + -1z = 10 + 5z + -5z

Combine like terms: 5z + -5z = 0
16 + -1z = 10 + 0
16 + -1z = 10

Add '-16' to each side of the equation.
16 + -16 + -1z = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -1z = 10 + -16
-1z = 10 + -16

Combine like terms: 10 + -16 = -6
-1z = -6

Divide each side by '-1'.
z = 6

Simplifying
z = 6

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