7(r+7)=5r+5a

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


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

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

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

Solving
49 + 7r = 5a + 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 = 5a + 5r + -5r

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

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

Add '-49' to each side of the equation.
49 + -49 + 2r = -49 + 5a

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

Divide each side by '2'.
r = -24.5 + 2.5a

Simplifying
r = -24.5 + 2.5a

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