5.8+3.5(z-4)=45.7

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Solution for 5.8+3.5(z-4)=45.7 equation: 


Simplifying
5.8 + 3.5(z + -4) = 45.7

Reorder the terms:
5.8 + 3.5(-4 + z) = 45.7
5.8 + (-4 * 3.5 + z * 3.5) = 45.7
5.8 + (-14 + 3.5z) = 45.7

Combine like terms: 5.8 + -14 = -8.2
-8.2 + 3.5z = 45.7

Solving
-8.2 + 3.5z = 45.7

Solving for variable 'z'.

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

Add '8.2' to each side of the equation.
-8.2 + 8.2 + 3.5z = 45.7 + 8.2

Combine like terms: -8.2 + 8.2 = 0.0
0.0 + 3.5z = 45.7 + 8.2
3.5z = 45.7 + 8.2

Combine like terms: 45.7 + 8.2 = 53.9
3.5z = 53.9

Divide each side by '3.5'.
z = 15.4

Simplifying
z = 15.4

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