6(1-3r)-4(-3-6r)=-6r-8+6r+2

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Solution for 6(1-3r)-4(-3-6r)=-6r-8+6r+2 equation:


Simplifying
6(1 + -3r) + -4(-3 + -6r) = -6r + -8 + 6r + 2
(1 * 6 + -3r * 6) + -4(-3 + -6r) = -6r + -8 + 6r + 2
(6 + -18r) + -4(-3 + -6r) = -6r + -8 + 6r + 2
6 + -18r + (-3 * -4 + -6r * -4) = -6r + -8 + 6r + 2
6 + -18r + (12 + 24r) = -6r + -8 + 6r + 2

Reorder the terms:
6 + 12 + -18r + 24r = -6r + -8 + 6r + 2

Combine like terms: 6 + 12 = 18
18 + -18r + 24r = -6r + -8 + 6r + 2

Combine like terms: -18r + 24r = 6r
18 + 6r = -6r + -8 + 6r + 2

Reorder the terms:
18 + 6r = -8 + 2 + -6r + 6r

Combine like terms: -8 + 2 = -6
18 + 6r = -6 + -6r + 6r

Combine like terms: -6r + 6r = 0
18 + 6r = -6 + 0
18 + 6r = -6

Solving
18 + 6r = -6

Solving for variable 'r'.

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

Add '-18' to each side of the equation.
18 + -18 + 6r = -6 + -18

Combine like terms: 18 + -18 = 0
0 + 6r = -6 + -18
6r = -6 + -18

Combine like terms: -6 + -18 = -24
6r = -24

Divide each side by '6'.
r = -4

Simplifying
r = -4

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