5n-3.1(n+1.6)=8.8(n-9.4)

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Solution for 5n-3.1(n+1.6)=8.8(n-9.4) equation:


Simplifying
5n + -3.1(n + 1.6) = 8.8(n + -9.4)

Reorder the terms:
5n + -3.1(1.6 + n) = 8.8(n + -9.4)
5n + (1.6 * -3.1 + n * -3.1) = 8.8(n + -9.4)
5n + (-4.96 + -3.1n) = 8.8(n + -9.4)

Reorder the terms:
-4.96 + 5n + -3.1n = 8.8(n + -9.4)

Combine like terms: 5n + -3.1n = 1.9n
-4.96 + 1.9n = 8.8(n + -9.4)

Reorder the terms:
-4.96 + 1.9n = 8.8(-9.4 + n)
-4.96 + 1.9n = (-9.4 * 8.8 + n * 8.8)
-4.96 + 1.9n = (-82.72 + 8.8n)

Solving
-4.96 + 1.9n = -82.72 + 8.8n

Solving for variable 'n'.

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

Add '-8.8n' to each side of the equation.
-4.96 + 1.9n + -8.8n = -82.72 + 8.8n + -8.8n

Combine like terms: 1.9n + -8.8n = -6.9n
-4.96 + -6.9n = -82.72 + 8.8n + -8.8n

Combine like terms: 8.8n + -8.8n = 0.0
-4.96 + -6.9n = -82.72 + 0.0
-4.96 + -6.9n = -82.72

Add '4.96' to each side of the equation.
-4.96 + 4.96 + -6.9n = -82.72 + 4.96

Combine like terms: -4.96 + 4.96 = 0.00
0.00 + -6.9n = -82.72 + 4.96
-6.9n = -82.72 + 4.96

Combine like terms: -82.72 + 4.96 = -77.76
-6.9n = -77.76

Divide each side by '-6.9'.
n = 11.26956522

Simplifying
n = 11.26956522

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