z-1.8z+5.9=-4.3(z-3)

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Solution for z-1.8z+5.9=-4.3(z-3) equation: 


Simplifying
z + -1.8z + 5.9 = -4.3(z + -3)

Reorder the terms:
5.9 + z + -1.8z = -4.3(z + -3)

Combine like terms: z + -1.8z = -0.8z
5.9 + -0.8z = -4.3(z + -3)

Reorder the terms:
5.9 + -0.8z = -4.3(-3 + z)
5.9 + -0.8z = (-3 * -4.3 + z * -4.3)
5.9 + -0.8z = (12.9 + -4.3z)

Solving
5.9 + -0.8z = 12.9 + -4.3z

Solving for variable 'z'.

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

Add '4.3z' to each side of the equation.
5.9 + -0.8z + 4.3z = 12.9 + -4.3z + 4.3z

Combine like terms: -0.8z + 4.3z = 3.5z
5.9 + 3.5z = 12.9 + -4.3z + 4.3z

Combine like terms: -4.3z + 4.3z = 0.0
5.9 + 3.5z = 12.9 + 0.0
5.9 + 3.5z = 12.9

Add '-5.9' to each side of the equation.
5.9 + -5.9 + 3.5z = 12.9 + -5.9

Combine like terms: 5.9 + -5.9 = 0.0
0.0 + 3.5z = 12.9 + -5.9
3.5z = 12.9 + -5.9

Combine like terms: 12.9 + -5.9 = 7
3.5z = 7

Divide each side by '3.5'.
z = 2

Simplifying
z = 2

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