.9z+2.4=.5z+6

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Solution for .9z+2.4=.5z+6 equation:


Simplifying
0.9z + 2.4 = 0.5z + 6

Reorder the terms:
2.4 + 0.9z = 0.5z + 6

Reorder the terms:
2.4 + 0.9z = 6 + 0.5z

Solving
2.4 + 0.9z = 6 + 0.5z

Solving for variable 'z'.

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

Add '-0.5z' to each side of the equation.
2.4 + 0.9z + -0.5z = 6 + 0.5z + -0.5z

Combine like terms: 0.9z + -0.5z = 0.4z
2.4 + 0.4z = 6 + 0.5z + -0.5z

Combine like terms: 0.5z + -0.5z = 0.0
2.4 + 0.4z = 6 + 0.0
2.4 + 0.4z = 6

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 0.4z = 6 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 0.4z = 6 + -2.4
0.4z = 6 + -2.4

Combine like terms: 6 + -2.4 = 3.6
0.4z = 3.6

Divide each side by '0.4'.
z = 9

Simplifying
z = 9

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