-371=-7(7r-4)-7

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Solution for -371=-7(7r-4)-7 equation:


Simplifying
-371 = -7(7r + -4) + -7

Reorder the terms:
-371 = -7(-4 + 7r) + -7
-371 = (-4 * -7 + 7r * -7) + -7
-371 = (28 + -49r) + -7

Reorder the terms:
-371 = 28 + -7 + -49r

Combine like terms: 28 + -7 = 21
-371 = 21 + -49r

Solving
-371 = 21 + -49r

Solving for variable 'r'.

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

Add '49r' to each side of the equation.
-371 + 49r = 21 + -49r + 49r

Combine like terms: -49r + 49r = 0
-371 + 49r = 21 + 0
-371 + 49r = 21

Add '371' to each side of the equation.
-371 + 371 + 49r = 21 + 371

Combine like terms: -371 + 371 = 0
0 + 49r = 21 + 371
49r = 21 + 371

Combine like terms: 21 + 371 = 392
49r = 392

Divide each side by '49'.
r = 8

Simplifying
r = 8

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