390=7.5r+7.5(r+33.4)

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Solution for 390=7.5r+7.5(r+33.4) equation:


Simplifying
390 = 7.5r + 7.5(r + 33.4)

Reorder the terms:
390 = 7.5r + 7.5(33.4 + r)
390 = 7.5r + (33.4 * 7.5 + r * 7.5)
390 = 7.5r + (250.5 + 7.5r)

Reorder the terms:
390 = 250.5 + 7.5r + 7.5r

Combine like terms: 7.5r + 7.5r = 15r
390 = 250.5 + 15r

Solving
390 = 250.5 + 15r

Solving for variable 'r'.

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

Add '-15r' to each side of the equation.
390 + -15r = 250.5 + 15r + -15r

Combine like terms: 15r + -15r = 0
390 + -15r = 250.5 + 0
390 + -15r = 250.5

Add '-390' to each side of the equation.
390 + -390 + -15r = 250.5 + -390

Combine like terms: 390 + -390 = 0
0 + -15r = 250.5 + -390
-15r = 250.5 + -390

Combine like terms: 250.5 + -390 = -139.5
-15r = -139.5

Divide each side by '-15'.
r = 9.3

Simplifying
r = 9.3

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