5z+16=4z-10

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


Simplifying
5z + 16 = 4z + -10

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

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

Solving
16 + 5z = -10 + 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.
16 + 5z + -4z = -10 + 4z + -4z

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

Combine like terms: 4z + -4z = 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 = -26
1z = -26

Divide each side by '1'.
z = -26

Simplifying
z = -26

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