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

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


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

Reorder the terms:
6(-3 + r) = 6(1 + 5r)
(-3 * 6 + r * 6) = 6(1 + 5r)
(-18 + 6r) = 6(1 + 5r)
-18 + 6r = (1 * 6 + 5r * 6)
-18 + 6r = (6 + 30r)

Solving
-18 + 6r = 6 + 30r

Solving for variable 'r'.

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

Add '-30r' to each side of the equation.
-18 + 6r + -30r = 6 + 30r + -30r

Combine like terms: 6r + -30r = -24r
-18 + -24r = 6 + 30r + -30r

Combine like terms: 30r + -30r = 0
-18 + -24r = 6 + 0
-18 + -24r = 6

Add '18' to each side of the equation.
-18 + 18 + -24r = 6 + 18

Combine like terms: -18 + 18 = 0
0 + -24r = 6 + 18
-24r = 6 + 18

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

Divide each side by '-24'.
r = -1

Simplifying
r = -1

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