7.4z-5(-1.6z+2.4)=1

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Solution for 7.4z-5(-1.6z+2.4)=1 equation: 


Simplifying
7.4z + -5(-1.6z + 2.4) = 1

Reorder the terms:
7.4z + -5(2.4 + -1.6z) = 1
7.4z + (2.4 * -5 + -1.6z * -5) = 1
7.4z + (-12 + 8z) = 1

Reorder the terms:
-12 + 7.4z + 8z = 1

Combine like terms: 7.4z + 8z = 15.4z
-12 + 15.4z = 1

Solving
-12 + 15.4z = 1

Solving for variable 'z'.

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

Add '12' to each side of the equation.
-12 + 12 + 15.4z = 1 + 12

Combine like terms: -12 + 12 = 0
0 + 15.4z = 1 + 12
15.4z = 1 + 12

Combine like terms: 1 + 12 = 13
15.4z = 13

Divide each side by '15.4'.
z = 0.8441558442

Simplifying
z = 0.8441558442

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