9r-2(r+4)=3(4R-6)-15

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Solution for 9r-2(r+4)=3(4R-6)-15 equation: 


Simplifying
9r + -2(r + 4) = 3(4R + -6) + -15

Reorder the terms:
9r + -2(4 + r) = 3(4R + -6) + -15
9r + (4 * -2 + r * -2) = 3(4R + -6) + -15
9r + (-8 + -2r) = 3(4R + -6) + -15

Reorder the terms:
-8 + 9r + -2r = 3(4R + -6) + -15

Combine like terms: 9r + -2r = 7r
-8 + 7r = 3(4R + -6) + -15

Reorder the terms:
-8 + 7r = 3(-6 + 4R) + -15
-8 + 7r = (-6 * 3 + 4R * 3) + -15
-8 + 7r = (-18 + 12R) + -15

Reorder the terms:
-8 + 7r = -18 + -15 + 12R

Combine like terms: -18 + -15 = -33
-8 + 7r = -33 + 12R

Solving
-8 + 7r = -33 + 12R

Solving for variable 'r'.

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

Add '8' to each side of the equation.
-8 + 8 + 7r = -33 + 8 + 12R

Combine like terms: -8 + 8 = 0
0 + 7r = -33 + 8 + 12R
7r = -33 + 8 + 12R

Combine like terms: -33 + 8 = -25
7r = -25 + 12R

Divide each side by '7'.
r = -3.571428571 + 1.714285714R

Simplifying
r = -3.571428571 + 1.714285714R

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