14-(4-4n)+17n=-6+18(n+1)

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Solution for 14-(4-4n)+17n=-6+18(n+1) equation:


Simplifying
14 + -1(4 + -4n) + 17n = -6 + 18(n + 1)
14 + (4 * -1 + -4n * -1) + 17n = -6 + 18(n + 1)
14 + (-4 + 4n) + 17n = -6 + 18(n + 1)

Combine like terms: 14 + -4 = 10
10 + 4n + 17n = -6 + 18(n + 1)

Combine like terms: 4n + 17n = 21n
10 + 21n = -6 + 18(n + 1)

Reorder the terms:
10 + 21n = -6 + 18(1 + n)
10 + 21n = -6 + (1 * 18 + n * 18)
10 + 21n = -6 + (18 + 18n)

Combine like terms: -6 + 18 = 12
10 + 21n = 12 + 18n

Solving
10 + 21n = 12 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
10 + 21n + -18n = 12 + 18n + -18n

Combine like terms: 21n + -18n = 3n
10 + 3n = 12 + 18n + -18n

Combine like terms: 18n + -18n = 0
10 + 3n = 12 + 0
10 + 3n = 12

Add '-10' to each side of the equation.
10 + -10 + 3n = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 3n = 12 + -10
3n = 12 + -10

Combine like terms: 12 + -10 = 2
3n = 2

Divide each side by '3'.
n = 0.6666666667

Simplifying
n = 0.6666666667

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