0.6(z+4)=0.2(z+10)

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Solution for 0.6(z+4)=0.2(z+10) equation: 


Simplifying
0.6(z + 4) = 0.2(z + 10)

Reorder the terms:
0.6(4 + z) = 0.2(z + 10)
(4 * 0.6 + z * 0.6) = 0.2(z + 10)
(2.4 + 0.6z) = 0.2(z + 10)

Reorder the terms:
2.4 + 0.6z = 0.2(10 + z)
2.4 + 0.6z = (10 * 0.2 + z * 0.2)
2.4 + 0.6z = (2 + 0.2z)

Solving
2.4 + 0.6z = 2 + 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.
2.4 + 0.6z + -0.2z = 2 + 0.2z + -0.2z

Combine like terms: 0.6z + -0.2z = 0.4z
2.4 + 0.4z = 2 + 0.2z + -0.2z

Combine like terms: 0.2z + -0.2z = 0.0
2.4 + 0.4z = 2 + 0.0
2.4 + 0.4z = 2

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 0.4z = 2 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 0.4z = 2 + -2.4
0.4z = 2 + -2.4

Combine like terms: 2 + -2.4 = -0.4
0.4z = -0.4

Divide each side by '0.4'.
z = -1

Simplifying
z = -1

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