90-4r=5r-16-2

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Solution for 90-4r=5r-16-2 equation:


Simplifying
90 + -4r = 5r + -16 + -2

Reorder the terms:
90 + -4r = -16 + -2 + 5r

Combine like terms: -16 + -2 = -18
90 + -4r = -18 + 5r

Solving
90 + -4r = -18 + 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.
90 + -4r + -5r = -18 + 5r + -5r

Combine like terms: -4r + -5r = -9r
90 + -9r = -18 + 5r + -5r

Combine like terms: 5r + -5r = 0
90 + -9r = -18 + 0
90 + -9r = -18

Add '-90' to each side of the equation.
90 + -90 + -9r = -18 + -90

Combine like terms: 90 + -90 = 0
0 + -9r = -18 + -90
-9r = -18 + -90

Combine like terms: -18 + -90 = -108
-9r = -108

Divide each side by '-9'.
r = 12

Simplifying
r = 12

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