40r-3=76r-75

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Solution for 40r-3=76r-75 equation:


Simplifying
40r + -3 = 76r + -75

Reorder the terms:
-3 + 40r = 76r + -75

Reorder the terms:
-3 + 40r = -75 + 76r

Solving
-3 + 40r = -75 + 76r

Solving for variable 'r'.

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

Add '-76r' to each side of the equation.
-3 + 40r + -76r = -75 + 76r + -76r

Combine like terms: 40r + -76r = -36r
-3 + -36r = -75 + 76r + -76r

Combine like terms: 76r + -76r = 0
-3 + -36r = -75 + 0
-3 + -36r = -75

Add '3' to each side of the equation.
-3 + 3 + -36r = -75 + 3

Combine like terms: -3 + 3 = 0
0 + -36r = -75 + 3
-36r = -75 + 3

Combine like terms: -75 + 3 = -72
-36r = -72

Divide each side by '-36'.
r = 2

Simplifying
r = 2

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