8-6(-n-1)=4(9n-9)+7

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Solution for 8-6(-n-1)=4(9n-9)+7 equation:


Simplifying
8 + -6(-1n + -1) = 4(9n + -9) + 7

Reorder the terms:
8 + -6(-1 + -1n) = 4(9n + -9) + 7
8 + (-1 * -6 + -1n * -6) = 4(9n + -9) + 7
8 + (6 + 6n) = 4(9n + -9) + 7

Combine like terms: 8 + 6 = 14
14 + 6n = 4(9n + -9) + 7

Reorder the terms:
14 + 6n = 4(-9 + 9n) + 7
14 + 6n = (-9 * 4 + 9n * 4) + 7
14 + 6n = (-36 + 36n) + 7

Reorder the terms:
14 + 6n = -36 + 7 + 36n

Combine like terms: -36 + 7 = -29
14 + 6n = -29 + 36n

Solving
14 + 6n = -29 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
14 + 6n + -36n = -29 + 36n + -36n

Combine like terms: 6n + -36n = -30n
14 + -30n = -29 + 36n + -36n

Combine like terms: 36n + -36n = 0
14 + -30n = -29 + 0
14 + -30n = -29

Add '-14' to each side of the equation.
14 + -14 + -30n = -29 + -14

Combine like terms: 14 + -14 = 0
0 + -30n = -29 + -14
-30n = -29 + -14

Combine like terms: -29 + -14 = -43
-30n = -43

Divide each side by '-30'.
n = 1.433333333

Simplifying
n = 1.433333333

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