5r-13-6r=(r+5)-16

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Solution for 5r-13-6r=(r+5)-16 equation:


Simplifying
5r + -13 + -6r = (r + 5) + -16

Reorder the terms:
-13 + 5r + -6r = (r + 5) + -16

Combine like terms: 5r + -6r = -1r
-13 + -1r = (r + 5) + -16

Reorder the terms:
-13 + -1r = (5 + r) + -16

Remove parenthesis around (5 + r)
-13 + -1r = 5 + r + -16

Reorder the terms:
-13 + -1r = 5 + -16 + r

Combine like terms: 5 + -16 = -11
-13 + -1r = -11 + r

Solving
-13 + -1r = -11 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-13 + -1r + -1r = -11 + r + -1r

Combine like terms: -1r + -1r = -2r
-13 + -2r = -11 + r + -1r

Combine like terms: r + -1r = 0
-13 + -2r = -11 + 0
-13 + -2r = -11

Add '13' to each side of the equation.
-13 + 13 + -2r = -11 + 13

Combine like terms: -13 + 13 = 0
0 + -2r = -11 + 13
-2r = -11 + 13

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

Divide each side by '-2'.
r = -1

Simplifying
r = -1

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