7(r+2)=4(9-r)

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Solution for 7(r+2)=4(9-r) equation: 


Simplifying
7(r + 2) = 4(9 + -1r)

Reorder the terms:
7(2 + r) = 4(9 + -1r)
(2 * 7 + r * 7) = 4(9 + -1r)
(14 + 7r) = 4(9 + -1r)
14 + 7r = (9 * 4 + -1r * 4)
14 + 7r = (36 + -4r)

Solving
14 + 7r = 36 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
14 + 7r + 4r = 36 + -4r + 4r

Combine like terms: 7r + 4r = 11r
14 + 11r = 36 + -4r + 4r

Combine like terms: -4r + 4r = 0
14 + 11r = 36 + 0
14 + 11r = 36

Add '-14' to each side of the equation.
14 + -14 + 11r = 36 + -14

Combine like terms: 14 + -14 = 0
0 + 11r = 36 + -14
11r = 36 + -14

Combine like terms: 36 + -14 = 22
11r = 22

Divide each side by '11'.
r = 2

Simplifying
r = 2

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