0.7(n-3)=n-0.6(n+5)

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Solution for 0.7(n-3)=n-0.6(n+5) equation: 


Simplifying
0.7(n + -3) = n + -0.6(n + 5)

Reorder the terms:
0.7(-3 + n) = n + -0.6(n + 5)
(-3 * 0.7 + n * 0.7) = n + -0.6(n + 5)
(-2.1 + 0.7n) = n + -0.6(n + 5)

Reorder the terms:
-2.1 + 0.7n = n + -0.6(5 + n)
-2.1 + 0.7n = n + (5 * -0.6 + n * -0.6)
-2.1 + 0.7n = n + (-3 + -0.6n)

Reorder the terms:
-2.1 + 0.7n = -3 + n + -0.6n

Combine like terms: n + -0.6n = 0.4n
-2.1 + 0.7n = -3 + 0.4n

Solving
-2.1 + 0.7n = -3 + 0.4n

Solving for variable 'n'.

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

Add '-0.4n' to each side of the equation.
-2.1 + 0.7n + -0.4n = -3 + 0.4n + -0.4n

Combine like terms: 0.7n + -0.4n = 0.3n
-2.1 + 0.3n = -3 + 0.4n + -0.4n

Combine like terms: 0.4n + -0.4n = 0.0
-2.1 + 0.3n = -3 + 0.0
-2.1 + 0.3n = -3

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 0.3n = -3 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 0.3n = -3 + 2.1
0.3n = -3 + 2.1

Combine like terms: -3 + 2.1 = -0.9
0.3n = -0.9

Divide each side by '0.3'.
n = -3

Simplifying
n = -3

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