338=6.5r+6.5(r+31.8)

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Solution for 338=6.5r+6.5(r+31.8) equation: 


Simplifying
338 = 6.5r + 6.5(r + 31.8)

Reorder the terms:
338 = 6.5r + 6.5(31.8 + r)
338 = 6.5r + (31.8 * 6.5 + r * 6.5)
338 = 6.5r + (206.7 + 6.5r)

Reorder the terms:
338 = 206.7 + 6.5r + 6.5r

Combine like terms: 6.5r + 6.5r = 13r
338 = 206.7 + 13r

Solving
338 = 206.7 + 13r

Solving for variable 'r'.

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

Add '-13r' to each side of the equation.
338 + -13r = 206.7 + 13r + -13r

Combine like terms: 13r + -13r = 0
338 + -13r = 206.7 + 0
338 + -13r = 206.7

Add '-338' to each side of the equation.
338 + -338 + -13r = 206.7 + -338

Combine like terms: 338 + -338 = 0
0 + -13r = 206.7 + -338
-13r = 206.7 + -338

Combine like terms: 206.7 + -338 = -131.3
-13r = -131.3

Divide each side by '-13'.
r = 10.1

Simplifying
r = 10.1

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