3+4(1+7z)=-34

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Solution for 3+4(1+7z)=-34 equation: 


Simplifying
3 + 4(1 + 7z) = -34
3 + (1 * 4 + 7z * 4) = -34
3 + (4 + 28z) = -34

Combine like terms: 3 + 4 = 7
7 + 28z = -34

Solving
7 + 28z = -34

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 + 28z = -34 + -7

Combine like terms: 7 + -7 = 0
0 + 28z = -34 + -7
28z = -34 + -7

Combine like terms: -34 + -7 = -41
28z = -41

Divide each side by '28'.
z = -1.464285714

Simplifying
z = -1.464285714

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