-3(8r-1)=-5(7r-5)

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Solution for -3(8r-1)=-5(7r-5) equation:


Simplifying
-3(8r + -1) = -5(7r + -5)

Reorder the terms:
-3(-1 + 8r) = -5(7r + -5)
(-1 * -3 + 8r * -3) = -5(7r + -5)
(3 + -24r) = -5(7r + -5)

Reorder the terms:
3 + -24r = -5(-5 + 7r)
3 + -24r = (-5 * -5 + 7r * -5)
3 + -24r = (25 + -35r)

Solving
3 + -24r = 25 + -35r

Solving for variable 'r'.

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

Add '35r' to each side of the equation.
3 + -24r + 35r = 25 + -35r + 35r

Combine like terms: -24r + 35r = 11r
3 + 11r = 25 + -35r + 35r

Combine like terms: -35r + 35r = 0
3 + 11r = 25 + 0
3 + 11r = 25

Add '-3' to each side of the equation.
3 + -3 + 11r = 25 + -3

Combine like terms: 3 + -3 = 0
0 + 11r = 25 + -3
11r = 25 + -3

Combine like terms: 25 + -3 = 22
11r = 22

Divide each side by '11'.
r = 2

Simplifying
r = 2

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