7r=2(4r-9)

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Solution for 7r=2(4r-9) equation:


Simplifying
7r = 2(4r + -9)

Reorder the terms:
7r = 2(-9 + 4r)
7r = (-9 * 2 + 4r * 2)
7r = (-18 + 8r)

Solving
7r = -18 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
7r + -8r = -18 + 8r + -8r

Combine like terms: 7r + -8r = -1r
-1r = -18 + 8r + -8r

Combine like terms: 8r + -8r = 0
-1r = -18 + 0
-1r = -18

Divide each side by '-1'.
r = 18

Simplifying
r = 18

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