50(r-1)=30r

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Solution for 50(r-1)=30r equation:


Simplifying
50(r + -1) = 30r

Reorder the terms:
50(-1 + r) = 30r
(-1 * 50 + r * 50) = 30r
(-50 + 50r) = 30r

Solving
-50 + 50r = 30r

Solving for variable 'r'.

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

Add '-30r' to each side of the equation.
-50 + 50r + -30r = 30r + -30r

Combine like terms: 50r + -30r = 20r
-50 + 20r = 30r + -30r

Combine like terms: 30r + -30r = 0
-50 + 20r = 0

Add '50' to each side of the equation.
-50 + 50 + 20r = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 20r = 0 + 50
20r = 0 + 50

Combine like terms: 0 + 50 = 50
20r = 50

Divide each side by '20'.
r = 2.5

Simplifying
r = 2.5

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