z+19=4z+7

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


Simplifying
z + 19 = 4z + 7

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

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

Solving
19 + z = 7 + 4z

Solving for variable 'z'.

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

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

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

Combine like terms: 4z + -4z = 0
19 + -3z = 7 + 0
19 + -3z = 7

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

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

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

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

Simplifying
z = 4

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