4z+7=7z+19

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Solution for 4z+7=7z+19 equation:


Simplifying
4z + 7 = 7z + 19

Reorder the terms:
7 + 4z = 7z + 19

Reorder the terms:
7 + 4z = 19 + 7z

Solving
7 + 4z = 19 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
7 + 4z + -7z = 19 + 7z + -7z

Combine like terms: 4z + -7z = -3z
7 + -3z = 19 + 7z + -7z

Combine like terms: 7z + -7z = 0
7 + -3z = 19 + 0
7 + -3z = 19

Add '-7' to each side of the equation.
7 + -7 + -3z = 19 + -7

Combine like terms: 7 + -7 = 0
0 + -3z = 19 + -7
-3z = 19 + -7

Combine like terms: 19 + -7 = 12
-3z = 12

Divide each side by '-3'.
z = -4

Simplifying
z = -4

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