7r-6+14=-76+21r

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Solution for 7r-6+14=-76+21r equation:


Simplifying
7r + -6 + 14 = -76 + 21r

Reorder the terms:
-6 + 14 + 7r = -76 + 21r

Combine like terms: -6 + 14 = 8
8 + 7r = -76 + 21r

Solving
8 + 7r = -76 + 21r

Solving for variable 'r'.

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

Add '-21r' to each side of the equation.
8 + 7r + -21r = -76 + 21r + -21r

Combine like terms: 7r + -21r = -14r
8 + -14r = -76 + 21r + -21r

Combine like terms: 21r + -21r = 0
8 + -14r = -76 + 0
8 + -14r = -76

Add '-8' to each side of the equation.
8 + -8 + -14r = -76 + -8

Combine like terms: 8 + -8 = 0
0 + -14r = -76 + -8
-14r = -76 + -8

Combine like terms: -76 + -8 = -84
-14r = -84

Divide each side by '-14'.
r = 6

Simplifying
r = 6

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