5+6r=7r-9+10

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Solution for 5+6r=7r-9+10 equation:


Simplifying
5 + 6r = 7r + -9 + 10

Reorder the terms:
5 + 6r = -9 + 10 + 7r

Combine like terms: -9 + 10 = 1
5 + 6r = 1 + 7r

Solving
5 + 6r = 1 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
5 + 6r + -7r = 1 + 7r + -7r

Combine like terms: 6r + -7r = -1r
5 + -1r = 1 + 7r + -7r

Combine like terms: 7r + -7r = 0
5 + -1r = 1 + 0
5 + -1r = 1

Add '-5' to each side of the equation.
5 + -5 + -1r = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -1r = 1 + -5
-1r = 1 + -5

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

Divide each side by '-1'.
r = 4

Simplifying
r = 4

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