7(r+2)=5r+59

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Solution for 7(r+2)=5r+59 equation:


Simplifying
7(r + 2) = 5r + 59

Reorder the terms:
7(2 + r) = 5r + 59
(2 * 7 + r * 7) = 5r + 59
(14 + 7r) = 5r + 59

Reorder the terms:
14 + 7r = 59 + 5r

Solving
14 + 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.
14 + 7r + -5r = 59 + 5r + -5r

Combine like terms: 7r + -5r = 2r
14 + 2r = 59 + 5r + -5r

Combine like terms: 5r + -5r = 0
14 + 2r = 59 + 0
14 + 2r = 59

Add '-14' to each side of the equation.
14 + -14 + 2r = 59 + -14

Combine like terms: 14 + -14 = 0
0 + 2r = 59 + -14
2r = 59 + -14

Combine like terms: 59 + -14 = 45
2r = 45

Divide each side by '2'.
r = 22.5

Simplifying
r = 22.5

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