357=7(7r-5)

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Solution for 357=7(7r-5) equation:


Simplifying
357 = 7(7r + -5)

Reorder the terms:
357 = 7(-5 + 7r)
357 = (-5 * 7 + 7r * 7)
357 = (-35 + 49r)

Solving
357 = -35 + 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.
357 + -49r = -35 + 49r + -49r

Combine like terms: 49r + -49r = 0
357 + -49r = -35 + 0
357 + -49r = -35

Add '-357' to each side of the equation.
357 + -357 + -49r = -35 + -357

Combine like terms: 357 + -357 = 0
0 + -49r = -35 + -357
-49r = -35 + -357

Combine like terms: -35 + -357 = -392
-49r = -392

Divide each side by '-49'.
r = 8

Simplifying
r = 8

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