5+2.5(z+2)=4.5z-2

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Solution for 5+2.5(z+2)=4.5z-2 equation: 


Simplifying
5 + 2.5(z + 2) = 4.5z + -2

Reorder the terms:
5 + 2.5(2 + z) = 4.5z + -2
5 + (2 * 2.5 + z * 2.5) = 4.5z + -2
5 + (5 + 2.5z) = 4.5z + -2

Combine like terms: 5 + 5 = 10
10 + 2.5z = 4.5z + -2

Reorder the terms:
10 + 2.5z = -2 + 4.5z

Solving
10 + 2.5z = -2 + 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.
10 + 2.5z + -4.5z = -2 + 4.5z + -4.5z

Combine like terms: 2.5z + -4.5z = -2z
10 + -2z = -2 + 4.5z + -4.5z

Combine like terms: 4.5z + -4.5z = 0.0
10 + -2z = -2 + 0.0
10 + -2z = -2

Add '-10' to each side of the equation.
10 + -10 + -2z = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -2z = -2 + -10
-2z = -2 + -10

Combine like terms: -2 + -10 = -12
-2z = -12

Divide each side by '-2'.
z = 6

Simplifying
z = 6

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