-4.03=3.1(z-16.7)-12.4

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Solution for -4.03=3.1(z-16.7)-12.4 equation: 


Simplifying
-4.03 = 3.1(z + -16.7) + -12.4

Reorder the terms:
-4.03 = 3.1(-16.7 + z) + -12.4
-4.03 = (-16.7 * 3.1 + z * 3.1) + -12.4
-4.03 = (-51.77 + 3.1z) + -12.4

Reorder the terms:
-4.03 = -51.77 + -12.4 + 3.1z

Combine like terms: -51.77 + -12.4 = -64.17
-4.03 = -64.17 + 3.1z

Solving
-4.03 = -64.17 + 3.1z

Solving for variable 'z'.

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

Add '-3.1z' to each side of the equation.
-4.03 + -3.1z = -64.17 + 3.1z + -3.1z

Combine like terms: 3.1z + -3.1z = 0.0
-4.03 + -3.1z = -64.17 + 0.0
-4.03 + -3.1z = -64.17

Add '4.03' to each side of the equation.
-4.03 + 4.03 + -3.1z = -64.17 + 4.03

Combine like terms: -4.03 + 4.03 = 0.00
0.00 + -3.1z = -64.17 + 4.03
-3.1z = -64.17 + 4.03

Combine like terms: -64.17 + 4.03 = -60.14
-3.1z = -60.14

Divide each side by '-3.1'.
z = 19.4

Simplifying
z = 19.4

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