2-(R-8)-(r-4)=3(r+5)+3

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Solution for 2-(R-8)-(r-4)=3(r+5)+3 equation: 


Simplifying
2 + -1(R + -8) + -1(r + -4) = 3(r + 5) + 3

Reorder the terms:
2 + -1(-8 + R) + -1(r + -4) = 3(r + 5) + 3
2 + (-8 * -1 + R * -1) + -1(r + -4) = 3(r + 5) + 3
2 + (8 + -1R) + -1(r + -4) = 3(r + 5) + 3

Reorder the terms:
2 + 8 + -1R + -1(-4 + r) = 3(r + 5) + 3
2 + 8 + -1R + (-4 * -1 + r * -1) = 3(r + 5) + 3
2 + 8 + -1R + (4 + -1r) = 3(r + 5) + 3

Reorder the terms:
2 + 8 + 4 + -1R + -1r = 3(r + 5) + 3

Combine like terms: 2 + 8 = 10
10 + 4 + -1R + -1r = 3(r + 5) + 3

Combine like terms: 10 + 4 = 14
14 + -1R + -1r = 3(r + 5) + 3

Reorder the terms:
14 + -1R + -1r = 3(5 + r) + 3
14 + -1R + -1r = (5 * 3 + r * 3) + 3
14 + -1R + -1r = (15 + 3r) + 3

Reorder the terms:
14 + -1R + -1r = 15 + 3 + 3r

Combine like terms: 15 + 3 = 18
14 + -1R + -1r = 18 + 3r

Solving
14 + -1R + -1r = 18 + 3r

Solving for variable 'R'.

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

Add '-14' to each side of the equation.
14 + -1R + -14 + -1r = 18 + -14 + 3r

Reorder the terms:
14 + -14 + -1R + -1r = 18 + -14 + 3r

Combine like terms: 14 + -14 = 0
0 + -1R + -1r = 18 + -14 + 3r
-1R + -1r = 18 + -14 + 3r

Combine like terms: 18 + -14 = 4
-1R + -1r = 4 + 3r

Add 'r' to each side of the equation.
-1R + -1r + r = 4 + 3r + r

Combine like terms: -1r + r = 0
-1R + 0 = 4 + 3r + r
-1R = 4 + 3r + r

Combine like terms: 3r + r = 4r
-1R = 4 + 4r

Divide each side by '-1'.
R = -4 + -4r

Simplifying
R = -4 + -4r

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