8(11r-6)=-18r-9(-12r+8)

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Solution for 8(11r-6)=-18r-9(-12r+8) equation:


Simplifying
8(11r + -6) = -18r + -9(-12r + 8)

Reorder the terms:
8(-6 + 11r) = -18r + -9(-12r + 8)
(-6 * 8 + 11r * 8) = -18r + -9(-12r + 8)
(-48 + 88r) = -18r + -9(-12r + 8)

Reorder the terms:
-48 + 88r = -18r + -9(8 + -12r)
-48 + 88r = -18r + (8 * -9 + -12r * -9)
-48 + 88r = -18r + (-72 + 108r)

Reorder the terms:
-48 + 88r = -72 + -18r + 108r

Combine like terms: -18r + 108r = 90r
-48 + 88r = -72 + 90r

Solving
-48 + 88r = -72 + 90r

Solving for variable 'r'.

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

Add '-90r' to each side of the equation.
-48 + 88r + -90r = -72 + 90r + -90r

Combine like terms: 88r + -90r = -2r
-48 + -2r = -72 + 90r + -90r

Combine like terms: 90r + -90r = 0
-48 + -2r = -72 + 0
-48 + -2r = -72

Add '48' to each side of the equation.
-48 + 48 + -2r = -72 + 48

Combine like terms: -48 + 48 = 0
0 + -2r = -72 + 48
-2r = -72 + 48

Combine like terms: -72 + 48 = -24
-2r = -24

Divide each side by '-2'.
r = 12

Simplifying
r = 12

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