3(1.5n-6.3)+0.5=4(n+1.1)

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Solution for 3(1.5n-6.3)+0.5=4(n+1.1) equation: 


Simplifying
3(1.5n + -6.3) + 0.5 = 4(n + 1.1)

Reorder the terms:
3(-6.3 + 1.5n) + 0.5 = 4(n + 1.1)
(-6.3 * 3 + 1.5n * 3) + 0.5 = 4(n + 1.1)
(-18.9 + 4.5n) + 0.5 = 4(n + 1.1)

Reorder the terms:
-18.9 + 0.5 + 4.5n = 4(n + 1.1)

Combine like terms: -18.9 + 0.5 = -18.4
-18.4 + 4.5n = 4(n + 1.1)

Reorder the terms:
-18.4 + 4.5n = 4(1.1 + n)
-18.4 + 4.5n = (1.1 * 4 + n * 4)
-18.4 + 4.5n = (4.4 + 4n)

Solving
-18.4 + 4.5n = 4.4 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-18.4 + 4.5n + -4n = 4.4 + 4n + -4n

Combine like terms: 4.5n + -4n = 0.5n
-18.4 + 0.5n = 4.4 + 4n + -4n

Combine like terms: 4n + -4n = 0
-18.4 + 0.5n = 4.4 + 0
-18.4 + 0.5n = 4.4

Add '18.4' to each side of the equation.
-18.4 + 18.4 + 0.5n = 4.4 + 18.4

Combine like terms: -18.4 + 18.4 = 0.0
0.0 + 0.5n = 4.4 + 18.4
0.5n = 4.4 + 18.4

Combine like terms: 4.4 + 18.4 = 22.8
0.5n = 22.8

Divide each side by '0.5'.
n = 45.6

Simplifying
n = 45.6

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