6+3(2R-5)-3(4r+8)-7=

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Solution for 6+3(2R-5)-3(4r+8)-7= equation: 


Simplifying
6 + 3(2R + -5) + -3(4r + 8) + -7 = 0

Reorder the terms:
6 + 3(-5 + 2R) + -3(4r + 8) + -7 = 0
6 + (-5 * 3 + 2R * 3) + -3(4r + 8) + -7 = 0
6 + (-15 + 6R) + -3(4r + 8) + -7 = 0

Reorder the terms:
6 + -15 + 6R + -3(8 + 4r) + -7 = 0
6 + -15 + 6R + (8 * -3 + 4r * -3) + -7 = 0
6 + -15 + 6R + (-24 + -12r) + -7 = 0

Reorder the terms:
6 + -15 + -24 + -7 + 6R + -12r = 0

Combine like terms: 6 + -15 = -9
-9 + -24 + -7 + 6R + -12r = 0

Combine like terms: -9 + -24 = -33
-33 + -7 + 6R + -12r = 0

Combine like terms: -33 + -7 = -40
-40 + 6R + -12r = 0

Solving
-40 + 6R + -12r = 0

Solving for variable 'R'.

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

Add '40' to each side of the equation.
-40 + 6R + 40 + -12r = 0 + 40

Reorder the terms:
-40 + 40 + 6R + -12r = 0 + 40

Combine like terms: -40 + 40 = 0
0 + 6R + -12r = 0 + 40
6R + -12r = 0 + 40

Combine like terms: 0 + 40 = 40
6R + -12r = 40

Add '12r' to each side of the equation.
6R + -12r + 12r = 40 + 12r

Combine like terms: -12r + 12r = 0
6R + 0 = 40 + 12r
6R = 40 + 12r

Divide each side by '6'.
R = 6.666666667 + 2r

Simplifying
R = 6.666666667 + 2r

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