30+5r=2(7r+6)

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Solution for 30+5r=2(7r+6) equation:


Simplifying
30 + 5r = 2(7r + 6)

Reorder the terms:
30 + 5r = 2(6 + 7r)
30 + 5r = (6 * 2 + 7r * 2)
30 + 5r = (12 + 14r)

Solving
30 + 5r = 12 + 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
30 + 5r + -14r = 12 + 14r + -14r

Combine like terms: 5r + -14r = -9r
30 + -9r = 12 + 14r + -14r

Combine like terms: 14r + -14r = 0
30 + -9r = 12 + 0
30 + -9r = 12

Add '-30' to each side of the equation.
30 + -30 + -9r = 12 + -30

Combine like terms: 30 + -30 = 0
0 + -9r = 12 + -30
-9r = 12 + -30

Combine like terms: 12 + -30 = -18
-9r = -18

Divide each side by '-9'.
r = 2

Simplifying
r = 2

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