6r+39=7(4r-7)

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Solution for 6r+39=7(4r-7) equation: 


Simplifying
6r + 39 = 7(4r + -7)

Reorder the terms:
39 + 6r = 7(4r + -7)

Reorder the terms:
39 + 6r = 7(-7 + 4r)
39 + 6r = (-7 * 7 + 4r * 7)
39 + 6r = (-49 + 28r)

Solving
39 + 6r = -49 + 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.
39 + 6r + -28r = -49 + 28r + -28r

Combine like terms: 6r + -28r = -22r
39 + -22r = -49 + 28r + -28r

Combine like terms: 28r + -28r = 0
39 + -22r = -49 + 0
39 + -22r = -49

Add '-39' to each side of the equation.
39 + -39 + -22r = -49 + -39

Combine like terms: 39 + -39 = 0
0 + -22r = -49 + -39
-22r = -49 + -39

Combine like terms: -49 + -39 = -88
-22r = -88

Divide each side by '-22'.
r = 4

Simplifying
r = 4

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