12+7(6r-4)=11(6r-8)

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Solution for 12+7(6r-4)=11(6r-8) equation:


Simplifying
12 + 7(6r + -4) = 11(6r + -8)

Reorder the terms:
12 + 7(-4 + 6r) = 11(6r + -8)
12 + (-4 * 7 + 6r * 7) = 11(6r + -8)
12 + (-28 + 42r) = 11(6r + -8)

Combine like terms: 12 + -28 = -16
-16 + 42r = 11(6r + -8)

Reorder the terms:
-16 + 42r = 11(-8 + 6r)
-16 + 42r = (-8 * 11 + 6r * 11)
-16 + 42r = (-88 + 66r)

Solving
-16 + 42r = -88 + 66r

Solving for variable 'r'.

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

Add '-66r' to each side of the equation.
-16 + 42r + -66r = -88 + 66r + -66r

Combine like terms: 42r + -66r = -24r
-16 + -24r = -88 + 66r + -66r

Combine like terms: 66r + -66r = 0
-16 + -24r = -88 + 0
-16 + -24r = -88

Add '16' to each side of the equation.
-16 + 16 + -24r = -88 + 16

Combine like terms: -16 + 16 = 0
0 + -24r = -88 + 16
-24r = -88 + 16

Combine like terms: -88 + 16 = -72
-24r = -72

Divide each side by '-24'.
r = 3

Simplifying
r = 3

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