-r+39=5+6(r+8)

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Solution for -r+39=5+6(r+8) equation:


Simplifying
-1r + 39 = 5 + 6(r + 8)

Reorder the terms:
39 + -1r = 5 + 6(r + 8)

Reorder the terms:
39 + -1r = 5 + 6(8 + r)
39 + -1r = 5 + (8 * 6 + r * 6)
39 + -1r = 5 + (48 + 6r)

Combine like terms: 5 + 48 = 53
39 + -1r = 53 + 6r

Solving
39 + -1r = 53 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
39 + -1r + -6r = 53 + 6r + -6r

Combine like terms: -1r + -6r = -7r
39 + -7r = 53 + 6r + -6r

Combine like terms: 6r + -6r = 0
39 + -7r = 53 + 0
39 + -7r = 53

Add '-39' to each side of the equation.
39 + -39 + -7r = 53 + -39

Combine like terms: 39 + -39 = 0
0 + -7r = 53 + -39
-7r = 53 + -39

Combine like terms: 53 + -39 = 14
-7r = 14

Divide each side by '-7'.
r = -2

Simplifying
r = -2

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