43z+13=53z+20

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Solution for 43z+13=53z+20 equation:


Simplifying
43z + 13 = 53z + 20

Reorder the terms:
13 + 43z = 53z + 20

Reorder the terms:
13 + 43z = 20 + 53z

Solving
13 + 43z = 20 + 53z

Solving for variable 'z'.

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

Add '-53z' to each side of the equation.
13 + 43z + -53z = 20 + 53z + -53z

Combine like terms: 43z + -53z = -10z
13 + -10z = 20 + 53z + -53z

Combine like terms: 53z + -53z = 0
13 + -10z = 20 + 0
13 + -10z = 20

Add '-13' to each side of the equation.
13 + -13 + -10z = 20 + -13

Combine like terms: 13 + -13 = 0
0 + -10z = 20 + -13
-10z = 20 + -13

Combine like terms: 20 + -13 = 7
-10z = 7

Divide each side by '-10'.
z = -0.7

Simplifying
z = -0.7

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