5+15r-2=9r+16-7r

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Solution for 5+15r-2=9r+16-7r equation:


Simplifying
5 + 15r + -2 = 9r + 16 + -7r

Reorder the terms:
5 + -2 + 15r = 9r + 16 + -7r

Combine like terms: 5 + -2 = 3
3 + 15r = 9r + 16 + -7r

Reorder the terms:
3 + 15r = 16 + 9r + -7r

Combine like terms: 9r + -7r = 2r
3 + 15r = 16 + 2r

Solving
3 + 15r = 16 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
3 + 15r + -2r = 16 + 2r + -2r

Combine like terms: 15r + -2r = 13r
3 + 13r = 16 + 2r + -2r

Combine like terms: 2r + -2r = 0
3 + 13r = 16 + 0
3 + 13r = 16

Add '-3' to each side of the equation.
3 + -3 + 13r = 16 + -3

Combine like terms: 3 + -3 = 0
0 + 13r = 16 + -3
13r = 16 + -3

Combine like terms: 16 + -3 = 13
13r = 13

Divide each side by '13'.
r = 1

Simplifying
r = 1

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