3(4-6r)=-1(r+5)

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Solution for 3(4-6r)=-1(r+5) equation: 


Simplifying
3(4 + -6r) = -1(r + 5)
(4 * 3 + -6r * 3) = -1(r + 5)
(12 + -18r) = -1(r + 5)

Reorder the terms:
12 + -18r = -1(5 + r)
12 + -18r = (5 * -1 + r * -1)
12 + -18r = (-5 + -1r)

Solving
12 + -18r = -5 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
12 + -18r + r = -5 + -1r + r

Combine like terms: -18r + r = -17r
12 + -17r = -5 + -1r + r

Combine like terms: -1r + r = 0
12 + -17r = -5 + 0
12 + -17r = -5

Add '-12' to each side of the equation.
12 + -12 + -17r = -5 + -12

Combine like terms: 12 + -12 = 0
0 + -17r = -5 + -12
-17r = -5 + -12

Combine like terms: -5 + -12 = -17
-17r = -17

Divide each side by '-17'.
r = 1

Simplifying
r = 1

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