2z+20=5z-7

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Solution for 2z+20=5z-7 equation:


Simplifying
2z + 20 = 5z + -7

Reorder the terms:
20 + 2z = 5z + -7

Reorder the terms:
20 + 2z = -7 + 5z

Solving
20 + 2z = -7 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
20 + 2z + -5z = -7 + 5z + -5z

Combine like terms: 2z + -5z = -3z
20 + -3z = -7 + 5z + -5z

Combine like terms: 5z + -5z = 0
20 + -3z = -7 + 0
20 + -3z = -7

Add '-20' to each side of the equation.
20 + -20 + -3z = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -3z = -7 + -20
-3z = -7 + -20

Combine like terms: -7 + -20 = -27
-3z = -27

Divide each side by '-3'.
z = 9

Simplifying
z = 9

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