6(3z-7)+4(9+z)=170

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Solution for 6(3z-7)+4(9+z)=170 equation:


Simplifying
6(3z + -7) + 4(9 + z) = 170

Reorder the terms:
6(-7 + 3z) + 4(9 + z) = 170
(-7 * 6 + 3z * 6) + 4(9 + z) = 170
(-42 + 18z) + 4(9 + z) = 170
-42 + 18z + (9 * 4 + z * 4) = 170
-42 + 18z + (36 + 4z) = 170

Reorder the terms:
-42 + 36 + 18z + 4z = 170

Combine like terms: -42 + 36 = -6
-6 + 18z + 4z = 170

Combine like terms: 18z + 4z = 22z
-6 + 22z = 170

Solving
-6 + 22z = 170

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 22z = 170 + 6

Combine like terms: -6 + 6 = 0
0 + 22z = 170 + 6
22z = 170 + 6

Combine like terms: 170 + 6 = 176
22z = 176

Divide each side by '22'.
z = 8

Simplifying
z = 8

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