13r-2(r+4)=5(3r-3)-17

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Solution for 13r-2(r+4)=5(3r-3)-17 equation:


Simplifying
13r + -2(r + 4) = 5(3r + -3) + -17

Reorder the terms:
13r + -2(4 + r) = 5(3r + -3) + -17
13r + (4 * -2 + r * -2) = 5(3r + -3) + -17
13r + (-8 + -2r) = 5(3r + -3) + -17

Reorder the terms:
-8 + 13r + -2r = 5(3r + -3) + -17

Combine like terms: 13r + -2r = 11r
-8 + 11r = 5(3r + -3) + -17

Reorder the terms:
-8 + 11r = 5(-3 + 3r) + -17
-8 + 11r = (-3 * 5 + 3r * 5) + -17
-8 + 11r = (-15 + 15r) + -17

Reorder the terms:
-8 + 11r = -15 + -17 + 15r

Combine like terms: -15 + -17 = -32
-8 + 11r = -32 + 15r

Solving
-8 + 11r = -32 + 15r

Solving for variable 'r'.

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

Add '-15r' to each side of the equation.
-8 + 11r + -15r = -32 + 15r + -15r

Combine like terms: 11r + -15r = -4r
-8 + -4r = -32 + 15r + -15r

Combine like terms: 15r + -15r = 0
-8 + -4r = -32 + 0
-8 + -4r = -32

Add '8' to each side of the equation.
-8 + 8 + -4r = -32 + 8

Combine like terms: -8 + 8 = 0
0 + -4r = -32 + 8
-4r = -32 + 8

Combine like terms: -32 + 8 = -24
-4r = -24

Divide each side by '-4'.
r = 6

Simplifying
r = 6

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