n-0.3n+2.8=-1.8(n+4)

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Solution for n-0.3n+2.8=-1.8(n+4) equation: 


Simplifying
n + -0.3n + 2.8 = -1.8(n + 4)

Reorder the terms:
2.8 + n + -0.3n = -1.8(n + 4)

Combine like terms: n + -0.3n = 0.7n
2.8 + 0.7n = -1.8(n + 4)

Reorder the terms:
2.8 + 0.7n = -1.8(4 + n)
2.8 + 0.7n = (4 * -1.8 + n * -1.8)
2.8 + 0.7n = (-7.2 + -1.8n)

Solving
2.8 + 0.7n = -7.2 + -1.8n

Solving for variable 'n'.

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

Add '1.8n' to each side of the equation.
2.8 + 0.7n + 1.8n = -7.2 + -1.8n + 1.8n

Combine like terms: 0.7n + 1.8n = 2.5n
2.8 + 2.5n = -7.2 + -1.8n + 1.8n

Combine like terms: -1.8n + 1.8n = 0.0
2.8 + 2.5n = -7.2 + 0.0
2.8 + 2.5n = -7.2

Add '-2.8' to each side of the equation.
2.8 + -2.8 + 2.5n = -7.2 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 2.5n = -7.2 + -2.8
2.5n = -7.2 + -2.8

Combine like terms: -7.2 + -2.8 = -10
2.5n = -10

Divide each side by '2.5'.
n = -4

Simplifying
n = -4

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