5r-30=-3(2-3r)

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Solution for 5r-30=-3(2-3r) equation:


Simplifying
5r + -30 = -3(2 + -3r)

Reorder the terms:
-30 + 5r = -3(2 + -3r)
-30 + 5r = (2 * -3 + -3r * -3)
-30 + 5r = (-6 + 9r)

Solving
-30 + 5r = -6 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
-30 + 5r + -9r = -6 + 9r + -9r

Combine like terms: 5r + -9r = -4r
-30 + -4r = -6 + 9r + -9r

Combine like terms: 9r + -9r = 0
-30 + -4r = -6 + 0
-30 + -4r = -6

Add '30' to each side of the equation.
-30 + 30 + -4r = -6 + 30

Combine like terms: -30 + 30 = 0
0 + -4r = -6 + 30
-4r = -6 + 30

Combine like terms: -6 + 30 = 24
-4r = 24

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

Simplifying
r = -6

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