6r+2=46r+10

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Solution for 6r+2=46r+10 equation:


Simplifying
6r + 2 = 46r + 10

Reorder the terms:
2 + 6r = 46r + 10

Reorder the terms:
2 + 6r = 10 + 46r

Solving
2 + 6r = 10 + 46r

Solving for variable 'r'.

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

Add '-46r' to each side of the equation.
2 + 6r + -46r = 10 + 46r + -46r

Combine like terms: 6r + -46r = -40r
2 + -40r = 10 + 46r + -46r

Combine like terms: 46r + -46r = 0
2 + -40r = 10 + 0
2 + -40r = 10

Add '-2' to each side of the equation.
2 + -2 + -40r = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -40r = 10 + -2
-40r = 10 + -2

Combine like terms: 10 + -2 = 8
-40r = 8

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

Simplifying
r = -0.2

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