z+0.2=0.6(z+3)

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Solution for z+0.2=0.6(z+3) equation: 


Simplifying
z + 0.2 = 0.6(z + 3)

Reorder the terms:
0.2 + z = 0.6(z + 3)

Reorder the terms:
0.2 + z = 0.6(3 + z)
0.2 + z = (3 * 0.6 + z * 0.6)
0.2 + z = (1.8 + 0.6z)

Solving
0.2 + z = 1.8 + 0.6z

Solving for variable 'z'.

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

Add '-0.6z' to each side of the equation.
0.2 + z + -0.6z = 1.8 + 0.6z + -0.6z

Combine like terms: z + -0.6z = 0.4z
0.2 + 0.4z = 1.8 + 0.6z + -0.6z

Combine like terms: 0.6z + -0.6z = 0.0
0.2 + 0.4z = 1.8 + 0.0
0.2 + 0.4z = 1.8

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.4z = 1.8 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.4z = 1.8 + -0.2
0.4z = 1.8 + -0.2

Combine like terms: 1.8 + -0.2 = 1.6
0.4z = 1.6

Divide each side by '0.4'.
z = 4

Simplifying
z = 4

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