5r-13-6r=3(r+5)-16

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Solution for 5r-13-6r=3(r+5)-16 equation: 


Simplifying
5r + -13 + -6r = 3(r + 5) + -16

Reorder the terms:
-13 + 5r + -6r = 3(r + 5) + -16

Combine like terms: 5r + -6r = -1r
-13 + -1r = 3(r + 5) + -16

Reorder the terms:
-13 + -1r = 3(5 + r) + -16
-13 + -1r = (5 * 3 + r * 3) + -16
-13 + -1r = (15 + 3r) + -16

Reorder the terms:
-13 + -1r = 15 + -16 + 3r

Combine like terms: 15 + -16 = -1
-13 + -1r = -1 + 3r

Solving
-13 + -1r = -1 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-13 + -1r + -3r = -1 + 3r + -3r

Combine like terms: -1r + -3r = -4r
-13 + -4r = -1 + 3r + -3r

Combine like terms: 3r + -3r = 0
-13 + -4r = -1 + 0
-13 + -4r = -1

Add '13' to each side of the equation.
-13 + 13 + -4r = -1 + 13

Combine like terms: -13 + 13 = 0
0 + -4r = -1 + 13
-4r = -1 + 13

Combine like terms: -1 + 13 = 12
-4r = 12

Divide each side by '-4'.
r = -3

Simplifying
r = -3

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