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

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


Simplifying
22 + -1r = 3r + 3(5 + -1r)
22 + -1r = 3r + (5 * 3 + -1r * 3)
22 + -1r = 3r + (15 + -3r)

Reorder the terms:
22 + -1r = 15 + 3r + -3r

Combine like terms: 3r + -3r = 0
22 + -1r = 15 + 0
22 + -1r = 15

Solving
22 + -1r = 15

Solving for variable 'r'.

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

Add '-22' to each side of the equation.
22 + -22 + -1r = 15 + -22

Combine like terms: 22 + -22 = 0
0 + -1r = 15 + -22
-1r = 15 + -22

Combine like terms: 15 + -22 = -7
-1r = -7

Divide each side by '-1'.
r = 7

Simplifying
r = 7

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