6(r-3)=-21+7r

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Solution for 6(r-3)=-21+7r equation:


Simplifying
6(r + -3) = -21 + 7r

Reorder the terms:
6(-3 + r) = -21 + 7r
(-3 * 6 + r * 6) = -21 + 7r
(-18 + 6r) = -21 + 7r

Solving
-18 + 6r = -21 + 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.
-18 + 6r + -7r = -21 + 7r + -7r

Combine like terms: 6r + -7r = -1r
-18 + -1r = -21 + 7r + -7r

Combine like terms: 7r + -7r = 0
-18 + -1r = -21 + 0
-18 + -1r = -21

Add '18' to each side of the equation.
-18 + 18 + -1r = -21 + 18

Combine like terms: -18 + 18 = 0
0 + -1r = -21 + 18
-1r = -21 + 18

Combine like terms: -21 + 18 = -3
-1r = -3

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

Simplifying
r = 3

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