2(2+2r)+3(-2r-3)=-9

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Solution for 2(2+2r)+3(-2r-3)=-9 equation:


Simplifying
2(2 + 2r) + 3(-2r + -3) = -9
(2 * 2 + 2r * 2) + 3(-2r + -3) = -9
(4 + 4r) + 3(-2r + -3) = -9

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

Reorder the terms:
4 + -9 + 4r + -6r = -9

Combine like terms: 4 + -9 = -5
-5 + 4r + -6r = -9

Combine like terms: 4r + -6r = -2r
-5 + -2r = -9

Solving
-5 + -2r = -9

Solving for variable 'r'.

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

Add '5' to each side of the equation.
-5 + 5 + -2r = -9 + 5

Combine like terms: -5 + 5 = 0
0 + -2r = -9 + 5
-2r = -9 + 5

Combine like terms: -9 + 5 = -4
-2r = -4

Divide each side by '-2'.
r = 2

Simplifying
r = 2

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