n+5.9n-0.3=6.8(n-6)

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Solution for n+5.9n-0.3=6.8(n-6) equation:


Simplifying
n + 5.9n + -0.3 = 6.8(n + -6)

Reorder the terms:
-0.3 + n + 5.9n = 6.8(n + -6)

Combine like terms: n + 5.9n = 6.9n
-0.3 + 6.9n = 6.8(n + -6)

Reorder the terms:
-0.3 + 6.9n = 6.8(-6 + n)
-0.3 + 6.9n = (-6 * 6.8 + n * 6.8)
-0.3 + 6.9n = (-40.8 + 6.8n)

Solving
-0.3 + 6.9n = -40.8 + 6.8n

Solving for variable 'n'.

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

Add '-6.8n' to each side of the equation.
-0.3 + 6.9n + -6.8n = -40.8 + 6.8n + -6.8n

Combine like terms: 6.9n + -6.8n = 0.1n
-0.3 + 0.1n = -40.8 + 6.8n + -6.8n

Combine like terms: 6.8n + -6.8n = 0.0
-0.3 + 0.1n = -40.8 + 0.0
-0.3 + 0.1n = -40.8

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 0.1n = -40.8 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 0.1n = -40.8 + 0.3
0.1n = -40.8 + 0.3

Combine like terms: -40.8 + 0.3 = -40.5
0.1n = -40.5

Divide each side by '0.1'.
n = -405

Simplifying
n = -405

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