-69=6(-3n-2)-(-5n-8)

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Solution for -69=6(-3n-2)-(-5n-8) equation:


Simplifying
-69 = 6(-3n + -2) + -1(-5n + -8)

Reorder the terms:
-69 = 6(-2 + -3n) + -1(-5n + -8)
-69 = (-2 * 6 + -3n * 6) + -1(-5n + -8)
-69 = (-12 + -18n) + -1(-5n + -8)

Reorder the terms:
-69 = -12 + -18n + -1(-8 + -5n)
-69 = -12 + -18n + (-8 * -1 + -5n * -1)
-69 = -12 + -18n + (8 + 5n)

Reorder the terms:
-69 = -12 + 8 + -18n + 5n

Combine like terms: -12 + 8 = -4
-69 = -4 + -18n + 5n

Combine like terms: -18n + 5n = -13n
-69 = -4 + -13n

Solving
-69 = -4 + -13n

Solving for variable 'n'.

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

Add '13n' to each side of the equation.
-69 + 13n = -4 + -13n + 13n

Combine like terms: -13n + 13n = 0
-69 + 13n = -4 + 0
-69 + 13n = -4

Add '69' to each side of the equation.
-69 + 69 + 13n = -4 + 69

Combine like terms: -69 + 69 = 0
0 + 13n = -4 + 69
13n = -4 + 69

Combine like terms: -4 + 69 = 65
13n = 65

Divide each side by '13'.
n = 5

Simplifying
n = 5

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