-3r+37=7(4r-8)

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Solution for -3r+37=7(4r-8) equation: 


Simplifying
-3r + 37 = 7(4r + -8)

Reorder the terms:
37 + -3r = 7(4r + -8)

Reorder the terms:
37 + -3r = 7(-8 + 4r)
37 + -3r = (-8 * 7 + 4r * 7)
37 + -3r = (-56 + 28r)

Solving
37 + -3r = -56 + 28r

Solving for variable 'r'.

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

Add '-28r' to each side of the equation.
37 + -3r + -28r = -56 + 28r + -28r

Combine like terms: -3r + -28r = -31r
37 + -31r = -56 + 28r + -28r

Combine like terms: 28r + -28r = 0
37 + -31r = -56 + 0
37 + -31r = -56

Add '-37' to each side of the equation.
37 + -37 + -31r = -56 + -37

Combine like terms: 37 + -37 = 0
0 + -31r = -56 + -37
-31r = -56 + -37

Combine like terms: -56 + -37 = -93
-31r = -93

Divide each side by '-31'.
r = 3

Simplifying
r = 3

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