n-2-7=-6(6n-5)-5(n-2)

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Solution for n-2-7=-6(6n-5)-5(n-2) equation:


Simplifying
n + -2 + -7 = -6(6n + -5) + -5(n + -2)

Reorder the terms:
-2 + -7 + n = -6(6n + -5) + -5(n + -2)

Combine like terms: -2 + -7 = -9
-9 + n = -6(6n + -5) + -5(n + -2)

Reorder the terms:
-9 + n = -6(-5 + 6n) + -5(n + -2)
-9 + n = (-5 * -6 + 6n * -6) + -5(n + -2)
-9 + n = (30 + -36n) + -5(n + -2)

Reorder the terms:
-9 + n = 30 + -36n + -5(-2 + n)
-9 + n = 30 + -36n + (-2 * -5 + n * -5)
-9 + n = 30 + -36n + (10 + -5n)

Reorder the terms:
-9 + n = 30 + 10 + -36n + -5n

Combine like terms: 30 + 10 = 40
-9 + n = 40 + -36n + -5n

Combine like terms: -36n + -5n = -41n
-9 + n = 40 + -41n

Solving
-9 + n = 40 + -41n

Solving for variable 'n'.

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

Add '41n' to each side of the equation.
-9 + n + 41n = 40 + -41n + 41n

Combine like terms: n + 41n = 42n
-9 + 42n = 40 + -41n + 41n

Combine like terms: -41n + 41n = 0
-9 + 42n = 40 + 0
-9 + 42n = 40

Add '9' to each side of the equation.
-9 + 9 + 42n = 40 + 9

Combine like terms: -9 + 9 = 0
0 + 42n = 40 + 9
42n = 40 + 9

Combine like terms: 40 + 9 = 49
42n = 49

Divide each side by '42'.
n = 1.166666667

Simplifying
n = 1.166666667

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