4(2-9z)=7.9-35.2z

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Solution for 4(2-9z)=7.9-35.2z equation:


Simplifying
4(2 + -9z) = 7.9 + -35.2z
(2 * 4 + -9z * 4) = 7.9 + -35.2z
(8 + -36z) = 7.9 + -35.2z

Solving
8 + -36z = 7.9 + -35.2z

Solving for variable 'z'.

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

Add '35.2z' to each side of the equation.
8 + -36z + 35.2z = 7.9 + -35.2z + 35.2z

Combine like terms: -36z + 35.2z = -0.8z
8 + -0.8z = 7.9 + -35.2z + 35.2z

Combine like terms: -35.2z + 35.2z = 0.0
8 + -0.8z = 7.9 + 0.0
8 + -0.8z = 7.9

Add '-8' to each side of the equation.
8 + -8 + -0.8z = 7.9 + -8

Combine like terms: 8 + -8 = 0
0 + -0.8z = 7.9 + -8
-0.8z = 7.9 + -8

Combine like terms: 7.9 + -8 = -0.1
-0.8z = -0.1

Divide each side by '-0.8'.
z = 0.125

Simplifying
z = 0.125

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