3(4z-6)+5(9+z)=163

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Solution for 3(4z-6)+5(9+z)=163 equation:


Simplifying
3(4z + -6) + 5(9 + z) = 163

Reorder the terms:
3(-6 + 4z) + 5(9 + z) = 163
(-6 * 3 + 4z * 3) + 5(9 + z) = 163
(-18 + 12z) + 5(9 + z) = 163
-18 + 12z + (9 * 5 + z * 5) = 163
-18 + 12z + (45 + 5z) = 163

Reorder the terms:
-18 + 45 + 12z + 5z = 163

Combine like terms: -18 + 45 = 27
27 + 12z + 5z = 163

Combine like terms: 12z + 5z = 17z
27 + 17z = 163

Solving
27 + 17z = 163

Solving for variable 'z'.

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

Add '-27' to each side of the equation.
27 + -27 + 17z = 163 + -27

Combine like terms: 27 + -27 = 0
0 + 17z = 163 + -27
17z = 163 + -27

Combine like terms: 163 + -27 = 136
17z = 136

Divide each side by '17'.
z = 8

Simplifying
z = 8

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