2r-7(r)=3(r-5)

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Solution for 2r-7(r)=3(r-5) equation: 


Simplifying
2r + -7(r) = 3(r + -5)

Combine like terms: 2r + -7r = -5r
-5r = 3(r + -5)

Reorder the terms:
-5r = 3(-5 + r)
-5r = (-5 * 3 + r * 3)
-5r = (-15 + 3r)

Solving
-5r = -15 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-5r + -3r = -15 + 3r + -3r

Combine like terms: -5r + -3r = -8r
-8r = -15 + 3r + -3r

Combine like terms: 3r + -3r = 0
-8r = -15 + 0
-8r = -15

Divide each side by '-8'.
r = 1.875

Simplifying
r = 1.875

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