-10.2z+1.5=-50.7-1.4z

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Solution for -10.2z+1.5=-50.7-1.4z equation: 


Simplifying
-10.2z + 1.5 = -50.7 + -1.4z

Reorder the terms:
1.5 + -10.2z = -50.7 + -1.4z

Solving
1.5 + -10.2z = -50.7 + -1.4z

Solving for variable 'z'.

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

Add '1.4z' to each side of the equation.
1.5 + -10.2z + 1.4z = -50.7 + -1.4z + 1.4z

Combine like terms: -10.2z + 1.4z = -8.8z
1.5 + -8.8z = -50.7 + -1.4z + 1.4z

Combine like terms: -1.4z + 1.4z = 0.0
1.5 + -8.8z = -50.7 + 0.0
1.5 + -8.8z = -50.7

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -8.8z = -50.7 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -8.8z = -50.7 + -1.5
-8.8z = -50.7 + -1.5

Combine like terms: -50.7 + -1.5 = -52.2
-8.8z = -52.2

Divide each side by '-8.8'.
z = 5.931818182

Simplifying
z = 5.931818182

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