7+16r-5=9r+114-7r

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Solution for 7+16r-5=9r+114-7r equation:


Simplifying
7 + 16r + -5 = 9r + 114 + -7r

Reorder the terms:
7 + -5 + 16r = 9r + 114 + -7r

Combine like terms: 7 + -5 = 2
2 + 16r = 9r + 114 + -7r

Reorder the terms:
2 + 16r = 114 + 9r + -7r

Combine like terms: 9r + -7r = 2r
2 + 16r = 114 + 2r

Solving
2 + 16r = 114 + 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.
2 + 16r + -2r = 114 + 2r + -2r

Combine like terms: 16r + -2r = 14r
2 + 14r = 114 + 2r + -2r

Combine like terms: 2r + -2r = 0
2 + 14r = 114 + 0
2 + 14r = 114

Add '-2' to each side of the equation.
2 + -2 + 14r = 114 + -2

Combine like terms: 2 + -2 = 0
0 + 14r = 114 + -2
14r = 114 + -2

Combine like terms: 114 + -2 = 112
14r = 112

Divide each side by '14'.
r = 8

Simplifying
r = 8

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