24.71=-3.3(1.6n-7.1)-2.8(1-1.4n)

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Solution for 24.71=-3.3(1.6n-7.1)-2.8(1-1.4n) equation: 


Simplifying
24.71 = -3.3(1.6n + -7.1) + -2.8(1 + -1.4n)

Reorder the terms:
24.71 = -3.3(-7.1 + 1.6n) + -2.8(1 + -1.4n)
24.71 = (-7.1 * -3.3 + 1.6n * -3.3) + -2.8(1 + -1.4n)
24.71 = (23.43 + -5.28n) + -2.8(1 + -1.4n)
24.71 = 23.43 + -5.28n + (1 * -2.8 + -1.4n * -2.8)
24.71 = 23.43 + -5.28n + (-2.8 + 3.92n)

Reorder the terms:
24.71 = 23.43 + -2.8 + -5.28n + 3.92n

Combine like terms: 23.43 + -2.8 = 20.63
24.71 = 20.63 + -5.28n + 3.92n

Combine like terms: -5.28n + 3.92n = -1.36n
24.71 = 20.63 + -1.36n

Solving
24.71 = 20.63 + -1.36n

Solving for variable 'n'.

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

Add '1.36n' to each side of the equation.
24.71 + 1.36n = 20.63 + -1.36n + 1.36n

Combine like terms: -1.36n + 1.36n = 0.00
24.71 + 1.36n = 20.63 + 0.00
24.71 + 1.36n = 20.63

Add '-24.71' to each side of the equation.
24.71 + -24.71 + 1.36n = 20.63 + -24.71

Combine like terms: 24.71 + -24.71 = 0.00
0.00 + 1.36n = 20.63 + -24.71
1.36n = 20.63 + -24.71

Combine like terms: 20.63 + -24.71 = -4.08
1.36n = -4.08

Divide each side by '1.36'.
n = -3

Simplifying
n = -3

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