8(3r-1)=11(2r+12)

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Solution for 8(3r-1)=11(2r+12) equation:


Simplifying
8(3r + -1) = 11(2r + 12)

Reorder the terms:
8(-1 + 3r) = 11(2r + 12)
(-1 * 8 + 3r * 8) = 11(2r + 12)
(-8 + 24r) = 11(2r + 12)

Reorder the terms:
-8 + 24r = 11(12 + 2r)
-8 + 24r = (12 * 11 + 2r * 11)
-8 + 24r = (132 + 22r)

Solving
-8 + 24r = 132 + 22r

Solving for variable 'r'.

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

Add '-22r' to each side of the equation.
-8 + 24r + -22r = 132 + 22r + -22r

Combine like terms: 24r + -22r = 2r
-8 + 2r = 132 + 22r + -22r

Combine like terms: 22r + -22r = 0
-8 + 2r = 132 + 0
-8 + 2r = 132

Add '8' to each side of the equation.
-8 + 8 + 2r = 132 + 8

Combine like terms: -8 + 8 = 0
0 + 2r = 132 + 8
2r = 132 + 8

Combine like terms: 132 + 8 = 140
2r = 140

Divide each side by '2'.
r = 70

Simplifying
r = 70

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