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

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


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

Reorder the terms:
6(-4 + r) = 2(r + -8) + 3
(-4 * 6 + r * 6) = 2(r + -8) + 3
(-24 + 6r) = 2(r + -8) + 3

Reorder the terms:
-24 + 6r = 2(-8 + r) + 3
-24 + 6r = (-8 * 2 + r * 2) + 3
-24 + 6r = (-16 + 2r) + 3

Reorder the terms:
-24 + 6r = -16 + 3 + 2r

Combine like terms: -16 + 3 = -13
-24 + 6r = -13 + 2r

Solving
-24 + 6r = -13 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-24 + 6r + -2r = -13 + 2r + -2r

Combine like terms: 6r + -2r = 4r
-24 + 4r = -13 + 2r + -2r

Combine like terms: 2r + -2r = 0
-24 + 4r = -13 + 0
-24 + 4r = -13

Add '24' to each side of the equation.
-24 + 24 + 4r = -13 + 24

Combine like terms: -24 + 24 = 0
0 + 4r = -13 + 24
4r = -13 + 24

Combine like terms: -13 + 24 = 11
4r = 11

Divide each side by '4'.
r = 2.75

Simplifying
r = 2.75

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