r-(5r-3)=9

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Solution for r-(5r-3)=9 equation:


Simplifying
r + -1(5r + -3) = 9

Reorder the terms:
r + -1(-3 + 5r) = 9
r + (-3 * -1 + 5r * -1) = 9
r + (3 + -5r) = 9

Reorder the terms:
3 + r + -5r = 9

Combine like terms: r + -5r = -4r
3 + -4r = 9

Solving
3 + -4r = 9

Solving for variable 'r'.

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

Add '-3' to each side of the equation.
3 + -3 + -4r = 9 + -3

Combine like terms: 3 + -3 = 0
0 + -4r = 9 + -3
-4r = 9 + -3

Combine like terms: 9 + -3 = 6
-4r = 6

Divide each side by '-4'.
r = -1.5

Simplifying
r = -1.5

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