-3.3(n-1)-0.6=3.4(1+0.5n)

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Solution for -3.3(n-1)-0.6=3.4(1+0.5n) equation: 


Simplifying
-3.3(n + -1) + -0.6 = 3.4(1 + 0.5n)

Reorder the terms:
-3.3(-1 + n) + -0.6 = 3.4(1 + 0.5n)
(-1 * -3.3 + n * -3.3) + -0.6 = 3.4(1 + 0.5n)
(3.3 + -3.3n) + -0.6 = 3.4(1 + 0.5n)

Reorder the terms:
3.3 + -0.6 + -3.3n = 3.4(1 + 0.5n)

Combine like terms: 3.3 + -0.6 = 2.7
2.7 + -3.3n = 3.4(1 + 0.5n)
2.7 + -3.3n = (1 * 3.4 + 0.5n * 3.4)
2.7 + -3.3n = (3.4 + 1.7n)

Solving
2.7 + -3.3n = 3.4 + 1.7n

Solving for variable 'n'.

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

Add '-1.7n' to each side of the equation.
2.7 + -3.3n + -1.7n = 3.4 + 1.7n + -1.7n

Combine like terms: -3.3n + -1.7n = -5n
2.7 + -5n = 3.4 + 1.7n + -1.7n

Combine like terms: 1.7n + -1.7n = 0.0
2.7 + -5n = 3.4 + 0.0
2.7 + -5n = 3.4

Add '-2.7' to each side of the equation.
2.7 + -2.7 + -5n = 3.4 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + -5n = 3.4 + -2.7
-5n = 3.4 + -2.7

Combine like terms: 3.4 + -2.7 = 0.7
-5n = 0.7

Divide each side by '-5'.
n = -0.14

Simplifying
n = -0.14

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