z+3.3z+2.1=-6(z+4.8)

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Solution for z+3.3z+2.1=-6(z+4.8) equation: 


Simplifying
z + 3.3z + 2.1 = -6(z + 4.8)

Reorder the terms:
2.1 + z + 3.3z = -6(z + 4.8)

Combine like terms: z + 3.3z = 4.3z
2.1 + 4.3z = -6(z + 4.8)

Reorder the terms:
2.1 + 4.3z = -6(4.8 + z)
2.1 + 4.3z = (4.8 * -6 + z * -6)
2.1 + 4.3z = (-28.8 + -6z)

Solving
2.1 + 4.3z = -28.8 + -6z

Solving for variable 'z'.

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

Add '6z' to each side of the equation.
2.1 + 4.3z + 6z = -28.8 + -6z + 6z

Combine like terms: 4.3z + 6z = 10.3z
2.1 + 10.3z = -28.8 + -6z + 6z

Combine like terms: -6z + 6z = 0
2.1 + 10.3z = -28.8 + 0
2.1 + 10.3z = -28.8

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 10.3z = -28.8 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 10.3z = -28.8 + -2.1
10.3z = -28.8 + -2.1

Combine like terms: -28.8 + -2.1 = -30.9
10.3z = -30.9

Divide each side by '10.3'.
z = -3

Simplifying
z = -3

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