z+0.3z+2.2=5.6(z+5)

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Solution for z+0.3z+2.2=5.6(z+5) equation: 


Simplifying
z + 0.3z + 2.2 = 5.6(z + 5)

Reorder the terms:
2.2 + z + 0.3z = 5.6(z + 5)

Combine like terms: z + 0.3z = 1.3z
2.2 + 1.3z = 5.6(z + 5)

Reorder the terms:
2.2 + 1.3z = 5.6(5 + z)
2.2 + 1.3z = (5 * 5.6 + z * 5.6)
2.2 + 1.3z = (28 + 5.6z)

Solving
2.2 + 1.3z = 28 + 5.6z

Solving for variable 'z'.

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

Add '-5.6z' to each side of the equation.
2.2 + 1.3z + -5.6z = 28 + 5.6z + -5.6z

Combine like terms: 1.3z + -5.6z = -4.3z
2.2 + -4.3z = 28 + 5.6z + -5.6z

Combine like terms: 5.6z + -5.6z = 0.0
2.2 + -4.3z = 28 + 0.0
2.2 + -4.3z = 28

Add '-2.2' to each side of the equation.
2.2 + -2.2 + -4.3z = 28 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + -4.3z = 28 + -2.2
-4.3z = 28 + -2.2

Combine like terms: 28 + -2.2 = 25.8
-4.3z = 25.8

Divide each side by '-4.3'.
z = -6

Simplifying
z = -6

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