5r-16=4r-7

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Solution for 5r-16=4r-7 equation:


Simplifying
5r + -16 = 4r + -7

Reorder the terms:
-16 + 5r = 4r + -7

Reorder the terms:
-16 + 5r = -7 + 4r

Solving
-16 + 5r = -7 + 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.
-16 + 5r + -4r = -7 + 4r + -4r

Combine like terms: 5r + -4r = 1r
-16 + 1r = -7 + 4r + -4r

Combine like terms: 4r + -4r = 0
-16 + 1r = -7 + 0
-16 + 1r = -7

Add '16' to each side of the equation.
-16 + 16 + 1r = -7 + 16

Combine like terms: -16 + 16 = 0
0 + 1r = -7 + 16
1r = -7 + 16

Combine like terms: -7 + 16 = 9
1r = 9

Divide each side by '1'.
r = 9

Simplifying
r = 9

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