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

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


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

Reorder the terms:
r + 2 + 5(-3 + r) = 17
r + 2 + (-3 * 5 + r * 5) = 17
r + 2 + (-15 + 5r) = 17

Reorder the terms:
2 + -15 + r + 5r = 17

Combine like terms: 2 + -15 = -13
-13 + r + 5r = 17

Combine like terms: r + 5r = 6r
-13 + 6r = 17

Solving
-13 + 6r = 17

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 + 6r = 17 + 13

Combine like terms: -13 + 13 = 0
0 + 6r = 17 + 13
6r = 17 + 13

Combine like terms: 17 + 13 = 30
6r = 30

Divide each side by '6'.
r = 5

Simplifying
r = 5

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