-6(3r-5)=-22-5r

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Solution for -6(3r-5)=-22-5r equation:


Simplifying
-6(3r + -5) = -22 + -5r

Reorder the terms:
-6(-5 + 3r) = -22 + -5r
(-5 * -6 + 3r * -6) = -22 + -5r
(30 + -18r) = -22 + -5r

Solving
30 + -18r = -22 + -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
30 + -18r + 5r = -22 + -5r + 5r

Combine like terms: -18r + 5r = -13r
30 + -13r = -22 + -5r + 5r

Combine like terms: -5r + 5r = 0
30 + -13r = -22 + 0
30 + -13r = -22

Add '-30' to each side of the equation.
30 + -30 + -13r = -22 + -30

Combine like terms: 30 + -30 = 0
0 + -13r = -22 + -30
-13r = -22 + -30

Combine like terms: -22 + -30 = -52
-13r = -52

Divide each side by '-13'.
r = 4

Simplifying
r = 4

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