51.2=128+r*128

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Solution for 51.2=128+r*128 equation:


Simplifying
51.2 = 128 + r * 128

Reorder the terms for easier multiplication:
51.2 = 128 + 128r

Solving
51.2 = 128 + 128r

Solving for variable 'r'.

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

Add '-128r' to each side of the equation.
51.2 + -128r = 128 + 128r + -128r

Combine like terms: 128r + -128r = 0
51.2 + -128r = 128 + 0
51.2 + -128r = 128

Add '-51.2' to each side of the equation.
51.2 + -51.2 + -128r = 128 + -51.2

Combine like terms: 51.2 + -51.2 = 0.0
0.0 + -128r = 128 + -51.2
-128r = 128 + -51.2

Combine like terms: 128 + -51.2 = 76.8
-128r = 76.8

Divide each side by '-128'.
r = -0.6

Simplifying
r = -0.6

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