-9(2-3r)=4-5(8r-9)

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Solution for -9(2-3r)=4-5(8r-9) equation:


Simplifying
-9(2 + -3r) = 4 + -5(8r + -9)
(2 * -9 + -3r * -9) = 4 + -5(8r + -9)
(-18 + 27r) = 4 + -5(8r + -9)

Reorder the terms:
-18 + 27r = 4 + -5(-9 + 8r)
-18 + 27r = 4 + (-9 * -5 + 8r * -5)
-18 + 27r = 4 + (45 + -40r)

Combine like terms: 4 + 45 = 49
-18 + 27r = 49 + -40r

Solving
-18 + 27r = 49 + -40r

Solving for variable 'r'.

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

Add '40r' to each side of the equation.
-18 + 27r + 40r = 49 + -40r + 40r

Combine like terms: 27r + 40r = 67r
-18 + 67r = 49 + -40r + 40r

Combine like terms: -40r + 40r = 0
-18 + 67r = 49 + 0
-18 + 67r = 49

Add '18' to each side of the equation.
-18 + 18 + 67r = 49 + 18

Combine like terms: -18 + 18 = 0
0 + 67r = 49 + 18
67r = 49 + 18

Combine like terms: 49 + 18 = 67
67r = 67

Divide each side by '67'.
r = 1

Simplifying
r = 1

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