2r-7=3r-14

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Solution for 2r-7=3r-14 equation:


Simplifying
2r + -7 = 3r + -14

Reorder the terms:
-7 + 2r = 3r + -14

Reorder the terms:
-7 + 2r = -14 + 3r

Solving
-7 + 2r = -14 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-7 + 2r + -3r = -14 + 3r + -3r

Combine like terms: 2r + -3r = -1r
-7 + -1r = -14 + 3r + -3r

Combine like terms: 3r + -3r = 0
-7 + -1r = -14 + 0
-7 + -1r = -14

Add '7' to each side of the equation.
-7 + 7 + -1r = -14 + 7

Combine like terms: -7 + 7 = 0
0 + -1r = -14 + 7
-1r = -14 + 7

Combine like terms: -14 + 7 = -7
-1r = -7

Divide each side by '-1'.
r = 7

Simplifying
r = 7

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