6r-7=7r-10

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Solution for 6r-7=7r-10 equation:


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

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

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

Solving
-7 + 6r = -10 + 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.
-7 + 6r + -7r = -10 + 7r + -7r

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

Combine like terms: 7r + -7r = 0
-7 + -1r = -10 + 0
-7 + -1r = -10

Add '7' to each side of the equation.
-7 + 7 + -1r = -10 + 7

Combine like terms: -7 + 7 = 0
0 + -1r = -10 + 7
-1r = -10 + 7

Combine like terms: -10 + 7 = -3
-1r = -3

Divide each side by '-1'.
r = 3

Simplifying
r = 3

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