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

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


Simplifying
-4r + -6(4r + 7) = 39 + -1r

Reorder the terms:
-4r + -6(7 + 4r) = 39 + -1r
-4r + (7 * -6 + 4r * -6) = 39 + -1r
-4r + (-42 + -24r) = 39 + -1r

Reorder the terms:
-42 + -4r + -24r = 39 + -1r

Combine like terms: -4r + -24r = -28r
-42 + -28r = 39 + -1r

Solving
-42 + -28r = 39 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
-42 + -28r + r = 39 + -1r + r

Combine like terms: -28r + r = -27r
-42 + -27r = 39 + -1r + r

Combine like terms: -1r + r = 0
-42 + -27r = 39 + 0
-42 + -27r = 39

Add '42' to each side of the equation.
-42 + 42 + -27r = 39 + 42

Combine like terms: -42 + 42 = 0
0 + -27r = 39 + 42
-27r = 39 + 42

Combine like terms: 39 + 42 = 81
-27r = 81

Divide each side by '-27'.
r = -3

Simplifying
r = -3

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