2r+6*3=8*3r-18

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Solution for 2r+6*3=8*3r-18 equation:


Simplifying
2r + 6 * 3 = 8 * 3r + -18

Multiply 6 * 3
2r + 18 = 8 * 3r + -18

Reorder the terms:
18 + 2r = 8 * 3r + -18

Multiply 8 * 3
18 + 2r = 24r + -18

Reorder the terms:
18 + 2r = -18 + 24r

Solving
18 + 2r = -18 + 24r

Solving for variable 'r'.

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

Add '-24r' to each side of the equation.
18 + 2r + -24r = -18 + 24r + -24r

Combine like terms: 2r + -24r = -22r
18 + -22r = -18 + 24r + -24r

Combine like terms: 24r + -24r = 0
18 + -22r = -18 + 0
18 + -22r = -18

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

Combine like terms: 18 + -18 = 0
0 + -22r = -18 + -18
-22r = -18 + -18

Combine like terms: -18 + -18 = -36
-22r = -36

Divide each side by '-22'.
r = 1.636363636

Simplifying
r = 1.636363636

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