13(r+1)+2r=163

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Solution for 13(r+1)+2r=163 equation:


Simplifying
13(r + 1) + 2r = 163

Reorder the terms:
13(1 + r) + 2r = 163
(1 * 13 + r * 13) + 2r = 163
(13 + 13r) + 2r = 163

Combine like terms: 13r + 2r = 15r
13 + 15r = 163

Solving
13 + 15r = 163

Solving for variable 'r'.

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

Add '-13' to each side of the equation.
13 + -13 + 15r = 163 + -13

Combine like terms: 13 + -13 = 0
0 + 15r = 163 + -13
15r = 163 + -13

Combine like terms: 163 + -13 = 150
15r = 150

Divide each side by '15'.
r = 10

Simplifying
r = 10

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