5(r-5)+6(2+5r)=57

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Solution for 5(r-5)+6(2+5r)=57 equation:


Simplifying
5(r + -5) + 6(2 + 5r) = 57

Reorder the terms:
5(-5 + r) + 6(2 + 5r) = 57
(-5 * 5 + r * 5) + 6(2 + 5r) = 57
(-25 + 5r) + 6(2 + 5r) = 57
-25 + 5r + (2 * 6 + 5r * 6) = 57
-25 + 5r + (12 + 30r) = 57

Reorder the terms:
-25 + 12 + 5r + 30r = 57

Combine like terms: -25 + 12 = -13
-13 + 5r + 30r = 57

Combine like terms: 5r + 30r = 35r
-13 + 35r = 57

Solving
-13 + 35r = 57

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 + 35r = 57 + 13

Combine like terms: -13 + 13 = 0
0 + 35r = 57 + 13
35r = 57 + 13

Combine like terms: 57 + 13 = 70
35r = 70

Divide each side by '35'.
r = 2

Simplifying
r = 2

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