42-2(13-5r)+7=85

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Solution for 42-2(13-5r)+7=85 equation: 


Simplifying
42 + -2(13 + -5r) + 7 = 85
42 + (13 * -2 + -5r * -2) + 7 = 85
42 + (-26 + 10r) + 7 = 85

Reorder the terms:
42 + -26 + 7 + 10r = 85

Combine like terms: 42 + -26 = 16
16 + 7 + 10r = 85

Combine like terms: 16 + 7 = 23
23 + 10r = 85

Solving
23 + 10r = 85

Solving for variable 'r'.

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

Add '-23' to each side of the equation.
23 + -23 + 10r = 85 + -23

Combine like terms: 23 + -23 = 0
0 + 10r = 85 + -23
10r = 85 + -23

Combine like terms: 85 + -23 = 62
10r = 62

Divide each side by '10'.
r = 6.2

Simplifying
r = 6.2

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