-6(7r-3)=-27+8r

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Solution for -6(7r-3)=-27+8r equation:


Simplifying
-6(7r + -3) = -27 + 8r

Reorder the terms:
-6(-3 + 7r) = -27 + 8r
(-3 * -6 + 7r * -6) = -27 + 8r
(18 + -42r) = -27 + 8r

Solving
18 + -42r = -27 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
18 + -42r + -8r = -27 + 8r + -8r

Combine like terms: -42r + -8r = -50r
18 + -50r = -27 + 8r + -8r

Combine like terms: 8r + -8r = 0
18 + -50r = -27 + 0
18 + -50r = -27

Add '-18' to each side of the equation.
18 + -18 + -50r = -27 + -18

Combine like terms: 18 + -18 = 0
0 + -50r = -27 + -18
-50r = -27 + -18

Combine like terms: -27 + -18 = -45
-50r = -45

Divide each side by '-50'.
r = 0.9

Simplifying
r = 0.9

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