z+2.3z-3.7=4.6(z-2.5)

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Solution for z+2.3z-3.7=4.6(z-2.5) equation: 


Simplifying
z + 2.3z + -3.7 = 4.6(z + -2.5)

Reorder the terms:
-3.7 + z + 2.3z = 4.6(z + -2.5)

Combine like terms: z + 2.3z = 3.3z
-3.7 + 3.3z = 4.6(z + -2.5)

Reorder the terms:
-3.7 + 3.3z = 4.6(-2.5 + z)
-3.7 + 3.3z = (-2.5 * 4.6 + z * 4.6)
-3.7 + 3.3z = (-11.5 + 4.6z)

Solving
-3.7 + 3.3z = -11.5 + 4.6z

Solving for variable 'z'.

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

Add '-4.6z' to each side of the equation.
-3.7 + 3.3z + -4.6z = -11.5 + 4.6z + -4.6z

Combine like terms: 3.3z + -4.6z = -1.3z
-3.7 + -1.3z = -11.5 + 4.6z + -4.6z

Combine like terms: 4.6z + -4.6z = 0.0
-3.7 + -1.3z = -11.5 + 0.0
-3.7 + -1.3z = -11.5

Add '3.7' to each side of the equation.
-3.7 + 3.7 + -1.3z = -11.5 + 3.7

Combine like terms: -3.7 + 3.7 = 0.0
0.0 + -1.3z = -11.5 + 3.7
-1.3z = -11.5 + 3.7

Combine like terms: -11.5 + 3.7 = -7.8
-1.3z = -7.8

Divide each side by '-1.3'.
z = 6

Simplifying
z = 6

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