R-4-2r-3-r-8-2r+9=72

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Solution for R-4-2r-3-r-8-2r+9=72 equation:


Simplifying
R + -4 + -2r + -3 + -1r + -8 + -2r + 9 = 72

Reorder the terms:
-4 + -3 + -8 + 9 + R + -2r + -1r + -2r = 72

Combine like terms: -4 + -3 = -7
-7 + -8 + 9 + R + -2r + -1r + -2r = 72

Combine like terms: -7 + -8 = -15
-15 + 9 + R + -2r + -1r + -2r = 72

Combine like terms: -15 + 9 = -6
-6 + R + -2r + -1r + -2r = 72

Combine like terms: -2r + -1r = -3r
-6 + R + -3r + -2r = 72

Combine like terms: -3r + -2r = -5r
-6 + R + -5r = 72

Solving
-6 + R + -5r = 72

Solving for variable 'R'.

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

Add '6' to each side of the equation.
-6 + R + 6 + -5r = 72 + 6

Reorder the terms:
-6 + 6 + R + -5r = 72 + 6

Combine like terms: -6 + 6 = 0
0 + R + -5r = 72 + 6
R + -5r = 72 + 6

Combine like terms: 72 + 6 = 78
R + -5r = 78

Add '5r' to each side of the equation.
R + -5r + 5r = 78 + 5r

Combine like terms: -5r + 5r = 0
R + 0 = 78 + 5r
R = 78 + 5r

Simplifying
R = 78 + 5r

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