3r-4=5(r-1)

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Solution for 3r-4=5(r-1) equation:


Simplifying
3r + -4 = 5(r + -1)

Reorder the terms:
-4 + 3r = 5(r + -1)

Reorder the terms:
-4 + 3r = 5(-1 + r)
-4 + 3r = (-1 * 5 + r * 5)
-4 + 3r = (-5 + 5r)

Solving
-4 + 3r = -5 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-4 + 3r + -5r = -5 + 5r + -5r

Combine like terms: 3r + -5r = -2r
-4 + -2r = -5 + 5r + -5r

Combine like terms: 5r + -5r = 0
-4 + -2r = -5 + 0
-4 + -2r = -5

Add '4' to each side of the equation.
-4 + 4 + -2r = -5 + 4

Combine like terms: -4 + 4 = 0
0 + -2r = -5 + 4
-2r = -5 + 4

Combine like terms: -5 + 4 = -1
-2r = -1

Divide each side by '-2'.
r = 0.5

Simplifying
r = 0.5

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