z+6.2z+6.3=-4.5(z+6.4)

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Solution for z+6.2z+6.3=-4.5(z+6.4) equation: 


Simplifying
z + 6.2z + 6.3 = -4.5(z + 6.4)

Reorder the terms:
6.3 + z + 6.2z = -4.5(z + 6.4)

Combine like terms: z + 6.2z = 7.2z
6.3 + 7.2z = -4.5(z + 6.4)

Reorder the terms:
6.3 + 7.2z = -4.5(6.4 + z)
6.3 + 7.2z = (6.4 * -4.5 + z * -4.5)
6.3 + 7.2z = (-28.8 + -4.5z)

Solving
6.3 + 7.2z = -28.8 + -4.5z

Solving for variable 'z'.

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

Add '4.5z' to each side of the equation.
6.3 + 7.2z + 4.5z = -28.8 + -4.5z + 4.5z

Combine like terms: 7.2z + 4.5z = 11.7z
6.3 + 11.7z = -28.8 + -4.5z + 4.5z

Combine like terms: -4.5z + 4.5z = 0.0
6.3 + 11.7z = -28.8 + 0.0
6.3 + 11.7z = -28.8

Add '-6.3' to each side of the equation.
6.3 + -6.3 + 11.7z = -28.8 + -6.3

Combine like terms: 6.3 + -6.3 = 0.0
0.0 + 11.7z = -28.8 + -6.3
11.7z = -28.8 + -6.3

Combine like terms: -28.8 + -6.3 = -35.1
11.7z = -35.1

Divide each side by '11.7'.
z = -3

Simplifying
z = -3

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