7(1+3z)=-17

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Solution for 7(1+3z)=-17 equation: 


Simplifying
7(1 + 3z) = -17
(1 * 7 + 3z * 7) = -17
(7 + 21z) = -17

Solving
7 + 21z = -17

Solving for variable 'z'.

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

Add '-7' to each side of the equation.
7 + -7 + 21z = -17 + -7

Combine like terms: 7 + -7 = 0
0 + 21z = -17 + -7
21z = -17 + -7

Combine like terms: -17 + -7 = -24
21z = -24

Divide each side by '21'.
z = -1.142857143

Simplifying
z = -1.142857143

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