8n+14n=-3(-7n-5)-2(n-9)

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Solution for 8n+14n=-3(-7n-5)-2(n-9) equation:


Simplifying
8n + 14n = -3(-7n + -5) + -2(n + -9)

Combine like terms: 8n + 14n = 22n
22n = -3(-7n + -5) + -2(n + -9)

Reorder the terms:
22n = -3(-5 + -7n) + -2(n + -9)
22n = (-5 * -3 + -7n * -3) + -2(n + -9)
22n = (15 + 21n) + -2(n + -9)

Reorder the terms:
22n = 15 + 21n + -2(-9 + n)
22n = 15 + 21n + (-9 * -2 + n * -2)
22n = 15 + 21n + (18 + -2n)

Reorder the terms:
22n = 15 + 18 + 21n + -2n

Combine like terms: 15 + 18 = 33
22n = 33 + 21n + -2n

Combine like terms: 21n + -2n = 19n
22n = 33 + 19n

Solving
22n = 33 + 19n

Solving for variable 'n'.

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

Add '-19n' to each side of the equation.
22n + -19n = 33 + 19n + -19n

Combine like terms: 22n + -19n = 3n
3n = 33 + 19n + -19n

Combine like terms: 19n + -19n = 0
3n = 33 + 0
3n = 33

Divide each side by '3'.
n = 11

Simplifying
n = 11

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