n+2.3n+1.5=-4.5(n+6.6)

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Solution for n+2.3n+1.5=-4.5(n+6.6) equation: 


Simplifying
n + 2.3n + 1.5 = -4.5(n + 6.6)

Reorder the terms:
1.5 + n + 2.3n = -4.5(n + 6.6)

Combine like terms: n + 2.3n = 3.3n
1.5 + 3.3n = -4.5(n + 6.6)

Reorder the terms:
1.5 + 3.3n = -4.5(6.6 + n)
1.5 + 3.3n = (6.6 * -4.5 + n * -4.5)
1.5 + 3.3n = (-29.7 + -4.5n)

Solving
1.5 + 3.3n = -29.7 + -4.5n

Solving for variable 'n'.

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

Add '4.5n' to each side of the equation.
1.5 + 3.3n + 4.5n = -29.7 + -4.5n + 4.5n

Combine like terms: 3.3n + 4.5n = 7.8n
1.5 + 7.8n = -29.7 + -4.5n + 4.5n

Combine like terms: -4.5n + 4.5n = 0.0
1.5 + 7.8n = -29.7 + 0.0
1.5 + 7.8n = -29.7

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 7.8n = -29.7 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 7.8n = -29.7 + -1.5
7.8n = -29.7 + -1.5

Combine like terms: -29.7 + -1.5 = -31.2
7.8n = -31.2

Divide each side by '7.8'.
n = -4

Simplifying
n = -4

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