6-4(6n+7)=(2-7r)

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Solution for 6-4(6n+7)=(2-7r) equation:


Simplifying
6 + -4(6n + 7) = (2 + -7r)

Reorder the terms:
6 + -4(7 + 6n) = (2 + -7r)
6 + (7 * -4 + 6n * -4) = (2 + -7r)
6 + (-28 + -24n) = (2 + -7r)

Combine like terms: 6 + -28 = -22
-22 + -24n = (2 + -7r)

Remove parenthesis around (2 + -7r)
-22 + -24n = 2 + -7r

Solving
-22 + -24n = 2 + -7r

Solving for variable 'n'.

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

Add '22' to each side of the equation.
-22 + 22 + -24n = 2 + 22 + -7r

Combine like terms: -22 + 22 = 0
0 + -24n = 2 + 22 + -7r
-24n = 2 + 22 + -7r

Combine like terms: 2 + 22 = 24
-24n = 24 + -7r

Divide each side by '-24'.
n = -1 + 0.2916666667r

Simplifying
n = -1 + 0.2916666667r

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