2(5r-2)+3(6r+5)=67

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Solution for 2(5r-2)+3(6r+5)=67 equation: 


Simplifying
2(5r + -2) + 3(6r + 5) = 67

Reorder the terms:
2(-2 + 5r) + 3(6r + 5) = 67
(-2 * 2 + 5r * 2) + 3(6r + 5) = 67
(-4 + 10r) + 3(6r + 5) = 67

Reorder the terms:
-4 + 10r + 3(5 + 6r) = 67
-4 + 10r + (5 * 3 + 6r * 3) = 67
-4 + 10r + (15 + 18r) = 67

Reorder the terms:
-4 + 15 + 10r + 18r = 67

Combine like terms: -4 + 15 = 11
11 + 10r + 18r = 67

Combine like terms: 10r + 18r = 28r
11 + 28r = 67

Solving
11 + 28r = 67

Solving for variable 'r'.

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

Add '-11' to each side of the equation.
11 + -11 + 28r = 67 + -11

Combine like terms: 11 + -11 = 0
0 + 28r = 67 + -11
28r = 67 + -11

Combine like terms: 67 + -11 = 56
28r = 56

Divide each side by '28'.
r = 2

Simplifying
r = 2

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