19+2r=r+5(r-1)

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Solution for 19+2r=r+5(r-1) equation:


Simplifying
19 + 2r = r + 5(r + -1)

Reorder the terms:
19 + 2r = r + 5(-1 + r)
19 + 2r = r + (-1 * 5 + r * 5)
19 + 2r = r + (-5 + 5r)

Reorder the terms:
19 + 2r = -5 + r + 5r

Combine like terms: r + 5r = 6r
19 + 2r = -5 + 6r

Solving
19 + 2r = -5 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
19 + 2r + -6r = -5 + 6r + -6r

Combine like terms: 2r + -6r = -4r
19 + -4r = -5 + 6r + -6r

Combine like terms: 6r + -6r = 0
19 + -4r = -5 + 0
19 + -4r = -5

Add '-19' to each side of the equation.
19 + -19 + -4r = -5 + -19

Combine like terms: 19 + -19 = 0
0 + -4r = -5 + -19
-4r = -5 + -19

Combine like terms: -5 + -19 = -24
-4r = -24

Divide each side by '-4'.
r = 6

Simplifying
r = 6

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