6r+7=41r+14

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Solution for 6r+7=41r+14 equation:


Simplifying
6r + 7 = 41r + 14

Reorder the terms:
7 + 6r = 41r + 14

Reorder the terms:
7 + 6r = 14 + 41r

Solving
7 + 6r = 14 + 41r

Solving for variable 'r'.

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

Add '-41r' to each side of the equation.
7 + 6r + -41r = 14 + 41r + -41r

Combine like terms: 6r + -41r = -35r
7 + -35r = 14 + 41r + -41r

Combine like terms: 41r + -41r = 0
7 + -35r = 14 + 0
7 + -35r = 14

Add '-7' to each side of the equation.
7 + -7 + -35r = 14 + -7

Combine like terms: 7 + -7 = 0
0 + -35r = 14 + -7
-35r = 14 + -7

Combine like terms: 14 + -7 = 7
-35r = 7

Divide each side by '-35'.
r = -0.2

Simplifying
r = -0.2

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