5z+16=8z+1

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Solution for 5z+16=8z+1 equation:


Simplifying
5z + 16 = 8z + 1

Reorder the terms:
16 + 5z = 8z + 1

Reorder the terms:
16 + 5z = 1 + 8z

Solving
16 + 5z = 1 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
16 + 5z + -8z = 1 + 8z + -8z

Combine like terms: 5z + -8z = -3z
16 + -3z = 1 + 8z + -8z

Combine like terms: 8z + -8z = 0
16 + -3z = 1 + 0
16 + -3z = 1

Add '-16' to each side of the equation.
16 + -16 + -3z = 1 + -16

Combine like terms: 16 + -16 = 0
0 + -3z = 1 + -16
-3z = 1 + -16

Combine like terms: 1 + -16 = -15
-3z = -15

Divide each side by '-3'.
z = 5

Simplifying
z = 5

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