19.5=-8+4.5(z+4)

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Solution for 19.5=-8+4.5(z+4) equation: 


Simplifying
19.5 = -8 + 4.5(z + 4)

Reorder the terms:
19.5 = -8 + 4.5(4 + z)
19.5 = -8 + (4 * 4.5 + z * 4.5)
19.5 = -8 + (18 + 4.5z)

Combine like terms: -8 + 18 = 10
19.5 = 10 + 4.5z

Solving
19.5 = 10 + 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.
19.5 + -4.5z = 10 + 4.5z + -4.5z

Combine like terms: 4.5z + -4.5z = 0.0
19.5 + -4.5z = 10 + 0.0
19.5 + -4.5z = 10

Add '-19.5' to each side of the equation.
19.5 + -19.5 + -4.5z = 10 + -19.5

Combine like terms: 19.5 + -19.5 = 0.0
0.0 + -4.5z = 10 + -19.5
-4.5z = 10 + -19.5

Combine like terms: 10 + -19.5 = -9.5
-4.5z = -9.5

Divide each side by '-4.5'.
z = 2.111111111

Simplifying
z = 2.111111111

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