9(2r+6)=3(5r+2+6)

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Solution for 9(2r+6)=3(5r+2+6) equation:


Simplifying
9(2r + 6) = 3(5r + 2 + 6)

Reorder the terms:
9(6 + 2r) = 3(5r + 2 + 6)
(6 * 9 + 2r * 9) = 3(5r + 2 + 6)
(54 + 18r) = 3(5r + 2 + 6)

Reorder the terms:
54 + 18r = 3(2 + 6 + 5r)

Combine like terms: 2 + 6 = 8
54 + 18r = 3(8 + 5r)
54 + 18r = (8 * 3 + 5r * 3)
54 + 18r = (24 + 15r)

Solving
54 + 18r = 24 + 15r

Solving for variable 'r'.

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

Add '-15r' to each side of the equation.
54 + 18r + -15r = 24 + 15r + -15r

Combine like terms: 18r + -15r = 3r
54 + 3r = 24 + 15r + -15r

Combine like terms: 15r + -15r = 0
54 + 3r = 24 + 0
54 + 3r = 24

Add '-54' to each side of the equation.
54 + -54 + 3r = 24 + -54

Combine like terms: 54 + -54 = 0
0 + 3r = 24 + -54
3r = 24 + -54

Combine like terms: 24 + -54 = -30
3r = -30

Divide each side by '3'.
r = -10

Simplifying
r = -10

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