35z+4(7z-42)=18(2z-3)

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Solution for 35z+4(7z-42)=18(2z-3) equation: 


Simplifying
35z + 4(7z + -42) = 18(2z + -3)

Reorder the terms:
35z + 4(-42 + 7z) = 18(2z + -3)
35z + (-42 * 4 + 7z * 4) = 18(2z + -3)
35z + (-168 + 28z) = 18(2z + -3)

Reorder the terms:
-168 + 35z + 28z = 18(2z + -3)

Combine like terms: 35z + 28z = 63z
-168 + 63z = 18(2z + -3)

Reorder the terms:
-168 + 63z = 18(-3 + 2z)
-168 + 63z = (-3 * 18 + 2z * 18)
-168 + 63z = (-54 + 36z)

Solving
-168 + 63z = -54 + 36z

Solving for variable 'z'.

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

Add '-36z' to each side of the equation.
-168 + 63z + -36z = -54 + 36z + -36z

Combine like terms: 63z + -36z = 27z
-168 + 27z = -54 + 36z + -36z

Combine like terms: 36z + -36z = 0
-168 + 27z = -54 + 0
-168 + 27z = -54

Add '168' to each side of the equation.
-168 + 168 + 27z = -54 + 168

Combine like terms: -168 + 168 = 0
0 + 27z = -54 + 168
27z = -54 + 168

Combine like terms: -54 + 168 = 114
27z = 114

Divide each side by '27'.
z = 4.222222222

Simplifying
z = 4.222222222

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