4r-3(3r-2)=8-3(r-4)

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


Simplifying
4r + -3(3r + -2) = 8 + -3(r + -4)

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

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

Combine like terms: 4r + -9r = -5r
6 + -5r = 8 + -3(r + -4)

Reorder the terms:
6 + -5r = 8 + -3(-4 + r)
6 + -5r = 8 + (-4 * -3 + r * -3)
6 + -5r = 8 + (12 + -3r)

Combine like terms: 8 + 12 = 20
6 + -5r = 20 + -3r

Solving
6 + -5r = 20 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
6 + -5r + 3r = 20 + -3r + 3r

Combine like terms: -5r + 3r = -2r
6 + -2r = 20 + -3r + 3r

Combine like terms: -3r + 3r = 0
6 + -2r = 20 + 0
6 + -2r = 20

Add '-6' to each side of the equation.
6 + -6 + -2r = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -2r = 20 + -6
-2r = 20 + -6

Combine like terms: 20 + -6 = 14
-2r = 14

Divide each side by '-2'.
r = -7

Simplifying
r = -7

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