7(3-7z)+19=-58

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Solution for 7(3-7z)+19=-58 equation:


Simplifying
7(3 + -7z) + 19 = -58
(3 * 7 + -7z * 7) + 19 = -58
(21 + -49z) + 19 = -58

Reorder the terms:
21 + 19 + -49z = -58

Combine like terms: 21 + 19 = 40
40 + -49z = -58

Solving
40 + -49z = -58

Solving for variable 'z'.

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

Add '-40' to each side of the equation.
40 + -40 + -49z = -58 + -40

Combine like terms: 40 + -40 = 0
0 + -49z = -58 + -40
-49z = -58 + -40

Combine like terms: -58 + -40 = -98
-49z = -98

Divide each side by '-49'.
z = 2

Simplifying
z = 2

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