3(r+3)+8=2(r-2)+5

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Solution for 3(r+3)+8=2(r-2)+5 equation: 


Simplifying
3(r + 3) + 8 = 2(r + -2) + 5

Reorder the terms:
3(3 + r) + 8 = 2(r + -2) + 5
(3 * 3 + r * 3) + 8 = 2(r + -2) + 5
(9 + 3r) + 8 = 2(r + -2) + 5

Reorder the terms:
9 + 8 + 3r = 2(r + -2) + 5

Combine like terms: 9 + 8 = 17
17 + 3r = 2(r + -2) + 5

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

Reorder the terms:
17 + 3r = -4 + 5 + 2r

Combine like terms: -4 + 5 = 1
17 + 3r = 1 + 2r

Solving
17 + 3r = 1 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
17 + 3r + -2r = 1 + 2r + -2r

Combine like terms: 3r + -2r = 1r
17 + 1r = 1 + 2r + -2r

Combine like terms: 2r + -2r = 0
17 + 1r = 1 + 0
17 + 1r = 1

Add '-17' to each side of the equation.
17 + -17 + 1r = 1 + -17

Combine like terms: 17 + -17 = 0
0 + 1r = 1 + -17
1r = 1 + -17

Combine like terms: 1 + -17 = -16
1r = -16

Divide each side by '1'.
r = -16

Simplifying
r = -16

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