7r+8=47r+16

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Solution for 7r+8=47r+16 equation:


Simplifying
7r + 8 = 47r + 16

Reorder the terms:
8 + 7r = 47r + 16

Reorder the terms:
8 + 7r = 16 + 47r

Solving
8 + 7r = 16 + 47r

Solving for variable 'r'.

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

Add '-47r' to each side of the equation.
8 + 7r + -47r = 16 + 47r + -47r

Combine like terms: 7r + -47r = -40r
8 + -40r = 16 + 47r + -47r

Combine like terms: 47r + -47r = 0
8 + -40r = 16 + 0
8 + -40r = 16

Add '-8' to each side of the equation.
8 + -8 + -40r = 16 + -8

Combine like terms: 8 + -8 = 0
0 + -40r = 16 + -8
-40r = 16 + -8

Combine like terms: 16 + -8 = 8
-40r = 8

Divide each side by '-40'.
r = -0.2

Simplifying
r = -0.2

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