-19=7z+5(2z+3)

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Solution for -19=7z+5(2z+3) equation:


Simplifying
-19 = 7z + 5(2z + 3)

Reorder the terms:
-19 = 7z + 5(3 + 2z)
-19 = 7z + (3 * 5 + 2z * 5)
-19 = 7z + (15 + 10z)

Reorder the terms:
-19 = 15 + 7z + 10z

Combine like terms: 7z + 10z = 17z
-19 = 15 + 17z

Solving
-19 = 15 + 17z

Solving for variable 'z'.

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

Add '-17z' to each side of the equation.
-19 + -17z = 15 + 17z + -17z

Combine like terms: 17z + -17z = 0
-19 + -17z = 15 + 0
-19 + -17z = 15

Add '19' to each side of the equation.
-19 + 19 + -17z = 15 + 19

Combine like terms: -19 + 19 = 0
0 + -17z = 15 + 19
-17z = 15 + 19

Combine like terms: 15 + 19 = 34
-17z = 34

Divide each side by '-17'.
z = -2

Simplifying
z = -2

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