35z+4(7z-42)=18(2z-3)-3(z-172)

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Solution for 35z+4(7z-42)=18(2z-3)-3(z-172) equation:


Simplifying
35z + 4(7z + -42) = 18(2z + -3) + -3(z + -172)

Reorder the terms:
35z + 4(-42 + 7z) = 18(2z + -3) + -3(z + -172)
35z + (-42 * 4 + 7z * 4) = 18(2z + -3) + -3(z + -172)
35z + (-168 + 28z) = 18(2z + -3) + -3(z + -172)

Reorder the terms:
-168 + 35z + 28z = 18(2z + -3) + -3(z + -172)

Combine like terms: 35z + 28z = 63z
-168 + 63z = 18(2z + -3) + -3(z + -172)

Reorder the terms:
-168 + 63z = 18(-3 + 2z) + -3(z + -172)
-168 + 63z = (-3 * 18 + 2z * 18) + -3(z + -172)
-168 + 63z = (-54 + 36z) + -3(z + -172)

Reorder the terms:
-168 + 63z = -54 + 36z + -3(-172 + z)
-168 + 63z = -54 + 36z + (-172 * -3 + z * -3)
-168 + 63z = -54 + 36z + (516 + -3z)

Reorder the terms:
-168 + 63z = -54 + 516 + 36z + -3z

Combine like terms: -54 + 516 = 462
-168 + 63z = 462 + 36z + -3z

Combine like terms: 36z + -3z = 33z
-168 + 63z = 462 + 33z

Solving
-168 + 63z = 462 + 33z

Solving for variable 'z'.

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

Add '-33z' to each side of the equation.
-168 + 63z + -33z = 462 + 33z + -33z

Combine like terms: 63z + -33z = 30z
-168 + 30z = 462 + 33z + -33z

Combine like terms: 33z + -33z = 0
-168 + 30z = 462 + 0
-168 + 30z = 462

Add '168' to each side of the equation.
-168 + 168 + 30z = 462 + 168

Combine like terms: -168 + 168 = 0
0 + 30z = 462 + 168
30z = 462 + 168

Combine like terms: 462 + 168 = 630
30z = 630

Divide each side by '30'.
z = 21

Simplifying
z = 21

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