.05z+.2=.15z-10.5

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Solution for .05z+.2=.15z-10.5 equation: 


Simplifying
0.05z + 0.2 = 0.15z + -10.5

Reorder the terms:
0.2 + 0.05z = 0.15z + -10.5

Reorder the terms:
0.2 + 0.05z = -10.5 + 0.15z

Solving
0.2 + 0.05z = -10.5 + 0.15z

Solving for variable 'z'.

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

Add '-0.15z' to each side of the equation.
0.2 + 0.05z + -0.15z = -10.5 + 0.15z + -0.15z

Combine like terms: 0.05z + -0.15z = -0.1z
0.2 + -0.1z = -10.5 + 0.15z + -0.15z

Combine like terms: 0.15z + -0.15z = 0.00
0.2 + -0.1z = -10.5 + 0.00
0.2 + -0.1z = -10.5

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -0.1z = -10.5 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.1z = -10.5 + -0.2
-0.1z = -10.5 + -0.2

Combine like terms: -10.5 + -0.2 = -10.7
-0.1z = -10.7

Divide each side by '-0.1'.
z = 107

Simplifying
z = 107

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