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

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


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

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

Combine like terms: -26 + 7 = -19
-19 + 42r + 10r = 85

Combine like terms: 42r + 10r = 52r
-19 + 52r = 85

Solving
-19 + 52r = 85

Solving for variable 'r'.

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

Add '19' to each side of the equation.
-19 + 19 + 52r = 85 + 19

Combine like terms: -19 + 19 = 0
0 + 52r = 85 + 19
52r = 85 + 19

Combine like terms: 85 + 19 = 104
52r = 104

Divide each side by '52'.
r = 2

Simplifying
r = 2

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