3(7z-4)+9(5+z)=273

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Solution for 3(7z-4)+9(5+z)=273 equation: 


Simplifying
3(7z + -4) + 9(5 + z) = 273

Reorder the terms:
3(-4 + 7z) + 9(5 + z) = 273
(-4 * 3 + 7z * 3) + 9(5 + z) = 273
(-12 + 21z) + 9(5 + z) = 273
-12 + 21z + (5 * 9 + z * 9) = 273
-12 + 21z + (45 + 9z) = 273

Reorder the terms:
-12 + 45 + 21z + 9z = 273

Combine like terms: -12 + 45 = 33
33 + 21z + 9z = 273

Combine like terms: 21z + 9z = 30z
33 + 30z = 273

Solving
33 + 30z = 273

Solving for variable 'z'.

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

Add '-33' to each side of the equation.
33 + -33 + 30z = 273 + -33

Combine like terms: 33 + -33 = 0
0 + 30z = 273 + -33
30z = 273 + -33

Combine like terms: 273 + -33 = 240
30z = 240

Divide each side by '30'.
z = 8

Simplifying
z = 8

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