z-2z+0.2=-6.2(z+5)

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Solution for z-2z+0.2=-6.2(z+5) equation:


Simplifying
z + -2z + 0.2 = -6.2(z + 5)

Reorder the terms:
0.2 + z + -2z = -6.2(z + 5)

Combine like terms: z + -2z = -1z
0.2 + -1z = -6.2(z + 5)

Reorder the terms:
0.2 + -1z = -6.2(5 + z)
0.2 + -1z = (5 * -6.2 + z * -6.2)
0.2 + -1z = (-31 + -6.2z)

Solving
0.2 + -1z = -31 + -6.2z

Solving for variable 'z'.

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

Add '6.2z' to each side of the equation.
0.2 + -1z + 6.2z = -31 + -6.2z + 6.2z

Combine like terms: -1z + 6.2z = 5.2z
0.2 + 5.2z = -31 + -6.2z + 6.2z

Combine like terms: -6.2z + 6.2z = 0.0
0.2 + 5.2z = -31 + 0.0
0.2 + 5.2z = -31

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 5.2z = -31 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 5.2z = -31 + -0.2
5.2z = -31 + -0.2

Combine like terms: -31 + -0.2 = -31.2
5.2z = -31.2

Divide each side by '5.2'.
z = -6

Simplifying
z = -6

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