-191=6(5r+7)+7

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Solution for -191=6(5r+7)+7 equation:


Simplifying
-191 = 6(5r + 7) + 7

Reorder the terms:
-191 = 6(7 + 5r) + 7
-191 = (7 * 6 + 5r * 6) + 7
-191 = (42 + 30r) + 7

Reorder the terms:
-191 = 42 + 7 + 30r

Combine like terms: 42 + 7 = 49
-191 = 49 + 30r

Solving
-191 = 49 + 30r

Solving for variable 'r'.

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

Add '-30r' to each side of the equation.
-191 + -30r = 49 + 30r + -30r

Combine like terms: 30r + -30r = 0
-191 + -30r = 49 + 0
-191 + -30r = 49

Add '191' to each side of the equation.
-191 + 191 + -30r = 49 + 191

Combine like terms: -191 + 191 = 0
0 + -30r = 49 + 191
-30r = 49 + 191

Combine like terms: 49 + 191 = 240
-30r = 240

Divide each side by '-30'.
r = -8

Simplifying
r = -8

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