5[4-0.66]=0.4[2n+3]

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Solution for 5[4-0.66]=0.4[2n+3] equation: 


Simplifying
5[4 + -0.66] = 0.4[2n + 3]

Combine like terms: 4 + -0.66 = 3.34
5[3.34] = 0.4[2n + 3]

Multiply 5 * 3.34
16.7 = 0.4[2n + 3]

Reorder the terms:
16.7 = 0.4[3 + 2n]
16.7 = [3 * 0.4 + 2n * 0.4]
16.7 = [1.2 + 0.8n]

Solving
16.7 = 1.2 + 0.8n

Solving for variable 'n'.

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

Add '-0.8n' to each side of the equation.
16.7 + -0.8n = 1.2 + 0.8n + -0.8n

Combine like terms: 0.8n + -0.8n = 0.0
16.7 + -0.8n = 1.2 + 0.0
16.7 + -0.8n = 1.2

Add '-16.7' to each side of the equation.
16.7 + -16.7 + -0.8n = 1.2 + -16.7

Combine like terms: 16.7 + -16.7 = 0.0
0.0 + -0.8n = 1.2 + -16.7
-0.8n = 1.2 + -16.7

Combine like terms: 1.2 + -16.7 = -15.5
-0.8n = -15.5

Divide each side by '-0.8'.
n = 19.375

Simplifying
n = 19.375

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