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

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


Simplifying
6 + -6r = 3r + 6(-4 + -4r)
6 + -6r = 3r + (-4 * 6 + -4r * 6)
6 + -6r = 3r + (-24 + -24r)

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

Combine like terms: 3r + -24r = -21r
6 + -6r = -24 + -21r

Solving
6 + -6r = -24 + -21r

Solving for variable 'r'.

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

Add '21r' to each side of the equation.
6 + -6r + 21r = -24 + -21r + 21r

Combine like terms: -6r + 21r = 15r
6 + 15r = -24 + -21r + 21r

Combine like terms: -21r + 21r = 0
6 + 15r = -24 + 0
6 + 15r = -24

Add '-6' to each side of the equation.
6 + -6 + 15r = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 15r = -24 + -6
15r = -24 + -6

Combine like terms: -24 + -6 = -30
15r = -30

Divide each side by '15'.
r = -2

Simplifying
r = -2

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