.8z+6.5=.3z+9

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Solution for .8z+6.5=.3z+9 equation:


Simplifying
0.8z + 6.5 = 0.3z + 9

Reorder the terms:
6.5 + 0.8z = 0.3z + 9

Reorder the terms:
6.5 + 0.8z = 9 + 0.3z

Solving
6.5 + 0.8z = 9 + 0.3z

Solving for variable 'z'.

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

Add '-0.3z' to each side of the equation.
6.5 + 0.8z + -0.3z = 9 + 0.3z + -0.3z

Combine like terms: 0.8z + -0.3z = 0.5z
6.5 + 0.5z = 9 + 0.3z + -0.3z

Combine like terms: 0.3z + -0.3z = 0.0
6.5 + 0.5z = 9 + 0.0
6.5 + 0.5z = 9

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 0.5z = 9 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 0.5z = 9 + -6.5
0.5z = 9 + -6.5

Combine like terms: 9 + -6.5 = 2.5
0.5z = 2.5

Divide each side by '0.5'.
z = 5

Simplifying
z = 5

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