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

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


Simplifying
5(6 + r) = 4(r + -6)
(6 * 5 + r * 5) = 4(r + -6)
(30 + 5r) = 4(r + -6)

Reorder the terms:
30 + 5r = 4(-6 + r)
30 + 5r = (-6 * 4 + r * 4)
30 + 5r = (-24 + 4r)

Solving
30 + 5r = -24 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
30 + 5r + -4r = -24 + 4r + -4r

Combine like terms: 5r + -4r = 1r
30 + 1r = -24 + 4r + -4r

Combine like terms: 4r + -4r = 0
30 + 1r = -24 + 0
30 + 1r = -24

Add '-30' to each side of the equation.
30 + -30 + 1r = -24 + -30

Combine like terms: 30 + -30 = 0
0 + 1r = -24 + -30
1r = -24 + -30

Combine like terms: -24 + -30 = -54
1r = -54

Divide each side by '1'.
r = -54

Simplifying
r = -54

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