5(r-1)-6=7-(r+5)

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Solution for 5(r-1)-6=7-(r+5) equation:


Simplifying
5(r + -1) + -6 = 7 + -1(r + 5)

Reorder the terms:
5(-1 + r) + -6 = 7 + -1(r + 5)
(-1 * 5 + r * 5) + -6 = 7 + -1(r + 5)
(-5 + 5r) + -6 = 7 + -1(r + 5)

Reorder the terms:
-5 + -6 + 5r = 7 + -1(r + 5)

Combine like terms: -5 + -6 = -11
-11 + 5r = 7 + -1(r + 5)

Reorder the terms:
-11 + 5r = 7 + -1(5 + r)
-11 + 5r = 7 + (5 * -1 + r * -1)
-11 + 5r = 7 + (-5 + -1r)

Combine like terms: 7 + -5 = 2
-11 + 5r = 2 + -1r

Solving
-11 + 5r = 2 + -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.
-11 + 5r + r = 2 + -1r + r

Combine like terms: 5r + r = 6r
-11 + 6r = 2 + -1r + r

Combine like terms: -1r + r = 0
-11 + 6r = 2 + 0
-11 + 6r = 2

Add '11' to each side of the equation.
-11 + 11 + 6r = 2 + 11

Combine like terms: -11 + 11 = 0
0 + 6r = 2 + 11
6r = 2 + 11

Combine like terms: 2 + 11 = 13
6r = 13

Divide each side by '6'.
r = 2.166666667

Simplifying
r = 2.166666667

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