6.4+2.1(z-2)=8.2

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Solution for 6.4+2.1(z-2)=8.2 equation: 


Simplifying
6.4 + 2.1(z + -2) = 8.2

Reorder the terms:
6.4 + 2.1(-2 + z) = 8.2
6.4 + (-2 * 2.1 + z * 2.1) = 8.2
6.4 + (-4.2 + 2.1z) = 8.2

Combine like terms: 6.4 + -4.2 = 2.2
2.2 + 2.1z = 8.2

Solving
2.2 + 2.1z = 8.2

Solving for variable 'z'.

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

Add '-2.2' to each side of the equation.
2.2 + -2.2 + 2.1z = 8.2 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + 2.1z = 8.2 + -2.2
2.1z = 8.2 + -2.2

Combine like terms: 8.2 + -2.2 = 6
2.1z = 6

Divide each side by '2.1'.
z = 2.857142857

Simplifying
z = 2.857142857

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