-3n+14n-(-17)n-(-15)n-8n-(-19)=-16

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Solution for -3n+14n-(-17)n-(-15)n-8n-(-19)=-16 equation:


Simplifying
-3n + 14n + -1(-17) * n + -1(-15) * n + -8n + -1(-19) = -16

Multiply -1 * -17
-3n + 14n + 17n + -1(-15) * n + -8n + -1(-19) = -16

Multiply -1 * -15
-3n + 14n + 17n + 15n + -8n + -1(-19) = -16

Multiply -1 * -19
-3n + 14n + 17n + 15n + -8n + 19 = -16

Reorder the terms:
19 + -3n + 14n + 17n + 15n + -8n = -16

Combine like terms: -3n + 14n = 11n
19 + 11n + 17n + 15n + -8n = -16

Combine like terms: 11n + 17n = 28n
19 + 28n + 15n + -8n = -16

Combine like terms: 28n + 15n = 43n
19 + 43n + -8n = -16

Combine like terms: 43n + -8n = 35n
19 + 35n = -16

Solving
19 + 35n = -16

Solving for variable 'n'.

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

Add '-19' to each side of the equation.
19 + -19 + 35n = -16 + -19

Combine like terms: 19 + -19 = 0
0 + 35n = -16 + -19
35n = -16 + -19

Combine like terms: -16 + -19 = -35
35n = -35

Divide each side by '35'.
n = -1

Simplifying
n = -1

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