22-5r=-7+2(4+8r)

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Solution for 22-5r=-7+2(4+8r) equation: 


Simplifying
22 + -5r = -7 + 2(4 + 8r)
22 + -5r = -7 + (4 * 2 + 8r * 2)
22 + -5r = -7 + (8 + 16r)

Combine like terms: -7 + 8 = 1
22 + -5r = 1 + 16r

Solving
22 + -5r = 1 + 16r

Solving for variable 'r'.

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

Add '-16r' to each side of the equation.
22 + -5r + -16r = 1 + 16r + -16r

Combine like terms: -5r + -16r = -21r
22 + -21r = 1 + 16r + -16r

Combine like terms: 16r + -16r = 0
22 + -21r = 1 + 0
22 + -21r = 1

Add '-22' to each side of the equation.
22 + -22 + -21r = 1 + -22

Combine like terms: 22 + -22 = 0
0 + -21r = 1 + -22
-21r = 1 + -22

Combine like terms: 1 + -22 = -21
-21r = -21

Divide each side by '-21'.
r = 1

Simplifying
r = 1

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