38(-2r+28)=14(16-4r)

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Solution for 38(-2r+28)=14(16-4r) equation: 


Simplifying
38(-2r + 28) = 14(16 + -4r)

Reorder the terms:
38(28 + -2r) = 14(16 + -4r)
(28 * 38 + -2r * 38) = 14(16 + -4r)
(1064 + -76r) = 14(16 + -4r)
1064 + -76r = (16 * 14 + -4r * 14)
1064 + -76r = (224 + -56r)

Solving
1064 + -76r = 224 + -56r

Solving for variable 'r'.

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

Add '56r' to each side of the equation.
1064 + -76r + 56r = 224 + -56r + 56r

Combine like terms: -76r + 56r = -20r
1064 + -20r = 224 + -56r + 56r

Combine like terms: -56r + 56r = 0
1064 + -20r = 224 + 0
1064 + -20r = 224

Add '-1064' to each side of the equation.
1064 + -1064 + -20r = 224 + -1064

Combine like terms: 1064 + -1064 = 0
0 + -20r = 224 + -1064
-20r = 224 + -1064

Combine like terms: 224 + -1064 = -840
-20r = -840

Divide each side by '-20'.
r = 42

Simplifying
r = 42

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