42r-2(13-5r)+7=35

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Solution for 42r-2(13-5r)+7=35 equation:


Simplifying
42r + -2(13 + -5r) + 7 = 35
42r + (13 * -2 + -5r * -2) + 7 = 35
42r + (-26 + 10r) + 7 = 35

Reorder the terms:
-26 + 7 + 42r + 10r = 35

Combine like terms: -26 + 7 = -19
-19 + 42r + 10r = 35

Combine like terms: 42r + 10r = 52r
-19 + 52r = 35

Solving
-19 + 52r = 35

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 = 35 + 19

Combine like terms: -19 + 19 = 0
0 + 52r = 35 + 19
52r = 35 + 19

Combine like terms: 35 + 19 = 54
52r = 54

Divide each side by '52'.
r = 1.038461538

Simplifying
r = 1.038461538

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