3(11r-13)=-7r+57

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Solution for 3(11r-13)=-7r+57 equation:


Simplifying
3(11r + -13) = -7r + 57

Reorder the terms:
3(-13 + 11r) = -7r + 57
(-13 * 3 + 11r * 3) = -7r + 57
(-39 + 33r) = -7r + 57

Reorder the terms:
-39 + 33r = 57 + -7r

Solving
-39 + 33r = 57 + -7r

Solving for variable 'r'.

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

Add '7r' to each side of the equation.
-39 + 33r + 7r = 57 + -7r + 7r

Combine like terms: 33r + 7r = 40r
-39 + 40r = 57 + -7r + 7r

Combine like terms: -7r + 7r = 0
-39 + 40r = 57 + 0
-39 + 40r = 57

Add '39' to each side of the equation.
-39 + 39 + 40r = 57 + 39

Combine like terms: -39 + 39 = 0
0 + 40r = 57 + 39
40r = 57 + 39

Combine like terms: 57 + 39 = 96
40r = 96

Divide each side by '40'.
r = 2.4

Simplifying
r = 2.4

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