6.5z=7(2+.5z)

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Solution for 6.5z=7(2+.5z) equation: 


Simplifying
6.5z = 7(2 + 0.5z)
6.5z = (2 * 7 + 0.5z * 7)
6.5z = (14 + 3.5z)

Solving
6.5z = 14 + 3.5z

Solving for variable 'z'.

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

Add '-3.5z' to each side of the equation.
6.5z + -3.5z = 14 + 3.5z + -3.5z

Combine like terms: 6.5z + -3.5z = 3z
3z = 14 + 3.5z + -3.5z

Combine like terms: 3.5z + -3.5z = 0.0
3z = 14 + 0.0
3z = 14

Divide each side by '3'.
z = 4.666666667

Simplifying
z = 4.666666667

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