9(r-8)=-8(3-r)

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


Simplifying
9(r + -8) = -8(3 + -1r)

Reorder the terms:
9(-8 + r) = -8(3 + -1r)
(-8 * 9 + r * 9) = -8(3 + -1r)
(-72 + 9r) = -8(3 + -1r)
-72 + 9r = (3 * -8 + -1r * -8)
-72 + 9r = (-24 + 8r)

Solving
-72 + 9r = -24 + 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.
-72 + 9r + -8r = -24 + 8r + -8r

Combine like terms: 9r + -8r = 1r
-72 + 1r = -24 + 8r + -8r

Combine like terms: 8r + -8r = 0
-72 + 1r = -24 + 0
-72 + 1r = -24

Add '72' to each side of the equation.
-72 + 72 + 1r = -24 + 72

Combine like terms: -72 + 72 = 0
0 + 1r = -24 + 72
1r = -24 + 72

Combine like terms: -24 + 72 = 48
1r = 48

Divide each side by '1'.
r = 48

Simplifying
r = 48

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