3.8=0.2(z+6.2)-5.4

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Solution for 3.8=0.2(z+6.2)-5.4 equation: 


Simplifying
3.8 = 0.2(z + 6.2) + -5.4

Reorder the terms:
3.8 = 0.2(6.2 + z) + -5.4
3.8 = (6.2 * 0.2 + z * 0.2) + -5.4
3.8 = (1.24 + 0.2z) + -5.4

Reorder the terms:
3.8 = 1.24 + -5.4 + 0.2z

Combine like terms: 1.24 + -5.4 = -4.16
3.8 = -4.16 + 0.2z

Solving
3.8 = -4.16 + 0.2z

Solving for variable 'z'.

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

Add '-0.2z' to each side of the equation.
3.8 + -0.2z = -4.16 + 0.2z + -0.2z

Combine like terms: 0.2z + -0.2z = 0.0
3.8 + -0.2z = -4.16 + 0.0
3.8 + -0.2z = -4.16

Add '-3.8' to each side of the equation.
3.8 + -3.8 + -0.2z = -4.16 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + -0.2z = -4.16 + -3.8
-0.2z = -4.16 + -3.8

Combine like terms: -4.16 + -3.8 = -7.96
-0.2z = -7.96

Divide each side by '-0.2'.
z = 39.8

Simplifying
z = 39.8

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