z-6z+3.9=5.5(z-4.8)

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Solution for z-6z+3.9=5.5(z-4.8) equation:


Simplifying
z + -6z + 3.9 = 5.5(z + -4.8)

Reorder the terms:
3.9 + z + -6z = 5.5(z + -4.8)

Combine like terms: z + -6z = -5z
3.9 + -5z = 5.5(z + -4.8)

Reorder the terms:
3.9 + -5z = 5.5(-4.8 + z)
3.9 + -5z = (-4.8 * 5.5 + z * 5.5)
3.9 + -5z = (-26.4 + 5.5z)

Solving
3.9 + -5z = -26.4 + 5.5z

Solving for variable 'z'.

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

Add '-5.5z' to each side of the equation.
3.9 + -5z + -5.5z = -26.4 + 5.5z + -5.5z

Combine like terms: -5z + -5.5z = -10.5z
3.9 + -10.5z = -26.4 + 5.5z + -5.5z

Combine like terms: 5.5z + -5.5z = 0.0
3.9 + -10.5z = -26.4 + 0.0
3.9 + -10.5z = -26.4

Add '-3.9' to each side of the equation.
3.9 + -3.9 + -10.5z = -26.4 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + -10.5z = -26.4 + -3.9
-10.5z = -26.4 + -3.9

Combine like terms: -26.4 + -3.9 = -30.3
-10.5z = -30.3

Divide each side by '-10.5'.
z = 2.885714286

Simplifying
z = 2.885714286

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