6r-39=5(1+4r)-2

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Solution for 6r-39=5(1+4r)-2 equation:


Simplifying
6r + -39 = 5(1 + 4r) + -2

Reorder the terms:
-39 + 6r = 5(1 + 4r) + -2
-39 + 6r = (1 * 5 + 4r * 5) + -2
-39 + 6r = (5 + 20r) + -2

Reorder the terms:
-39 + 6r = 5 + -2 + 20r

Combine like terms: 5 + -2 = 3
-39 + 6r = 3 + 20r

Solving
-39 + 6r = 3 + 20r

Solving for variable 'r'.

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

Add '-20r' to each side of the equation.
-39 + 6r + -20r = 3 + 20r + -20r

Combine like terms: 6r + -20r = -14r
-39 + -14r = 3 + 20r + -20r

Combine like terms: 20r + -20r = 0
-39 + -14r = 3 + 0
-39 + -14r = 3

Add '39' to each side of the equation.
-39 + 39 + -14r = 3 + 39

Combine like terms: -39 + 39 = 0
0 + -14r = 3 + 39
-14r = 3 + 39

Combine like terms: 3 + 39 = 42
-14r = 42

Divide each side by '-14'.
r = -3

Simplifying
r = -3

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