z-2.5z-3.3=-2(z-6.6)

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Solution for z-2.5z-3.3=-2(z-6.6) equation:


Simplifying
z + -2.5z + -3.3 = -2(z + -6.6)

Reorder the terms:
-3.3 + z + -2.5z = -2(z + -6.6)

Combine like terms: z + -2.5z = -1.5z
-3.3 + -1.5z = -2(z + -6.6)

Reorder the terms:
-3.3 + -1.5z = -2(-6.6 + z)
-3.3 + -1.5z = (-6.6 * -2 + z * -2)
-3.3 + -1.5z = (13.2 + -2z)

Solving
-3.3 + -1.5z = 13.2 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
-3.3 + -1.5z + 2z = 13.2 + -2z + 2z

Combine like terms: -1.5z + 2z = 0.5z
-3.3 + 0.5z = 13.2 + -2z + 2z

Combine like terms: -2z + 2z = 0
-3.3 + 0.5z = 13.2 + 0
-3.3 + 0.5z = 13.2

Add '3.3' to each side of the equation.
-3.3 + 3.3 + 0.5z = 13.2 + 3.3

Combine like terms: -3.3 + 3.3 = 0.0
0.0 + 0.5z = 13.2 + 3.3
0.5z = 13.2 + 3.3

Combine like terms: 13.2 + 3.3 = 16.5
0.5z = 16.5

Divide each side by '0.5'.
z = 33

Simplifying
z = 33

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