7(r+7)=5r+59

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Solution for 7(r+7)=5r+59 equation:


Simplifying
7(r + 7) = 5r + 59

Reorder the terms:
7(7 + r) = 5r + 59
(7 * 7 + r * 7) = 5r + 59
(49 + 7r) = 5r + 59

Reorder the terms:
49 + 7r = 59 + 5r

Solving
49 + 7r = 59 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
49 + 7r + -5r = 59 + 5r + -5r

Combine like terms: 7r + -5r = 2r
49 + 2r = 59 + 5r + -5r

Combine like terms: 5r + -5r = 0
49 + 2r = 59 + 0
49 + 2r = 59

Add '-49' to each side of the equation.
49 + -49 + 2r = 59 + -49

Combine like terms: 49 + -49 = 0
0 + 2r = 59 + -49
2r = 59 + -49

Combine like terms: 59 + -49 = 10
2r = 10

Divide each side by '2'.
r = 5

Simplifying
r = 5

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