3+16r-2=9r+78-4r

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Solution for 3+16r-2=9r+78-4r equation:


Simplifying
3 + 16r + -2 = 9r + 78 + -4r

Reorder the terms:
3 + -2 + 16r = 9r + 78 + -4r

Combine like terms: 3 + -2 = 1
1 + 16r = 9r + 78 + -4r

Reorder the terms:
1 + 16r = 78 + 9r + -4r

Combine like terms: 9r + -4r = 5r
1 + 16r = 78 + 5r

Solving
1 + 16r = 78 + 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.
1 + 16r + -5r = 78 + 5r + -5r

Combine like terms: 16r + -5r = 11r
1 + 11r = 78 + 5r + -5r

Combine like terms: 5r + -5r = 0
1 + 11r = 78 + 0
1 + 11r = 78

Add '-1' to each side of the equation.
1 + -1 + 11r = 78 + -1

Combine like terms: 1 + -1 = 0
0 + 11r = 78 + -1
11r = 78 + -1

Combine like terms: 78 + -1 = 77
11r = 77

Divide each side by '11'.
r = 7

Simplifying
r = 7

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