1.8n-2.5(-2.6n-2.96)=31.47

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Solution for 1.8n-2.5(-2.6n-2.96)=31.47 equation:


Simplifying
1.8n + -2.5(-2.6n + -2.96) = 31.47

Reorder the terms:
1.8n + -2.5(-2.96 + -2.6n) = 31.47
1.8n + (-2.96 * -2.5 + -2.6n * -2.5) = 31.47
1.8n + (7.4 + 6.5n) = 31.47

Reorder the terms:
7.4 + 1.8n + 6.5n = 31.47

Combine like terms: 1.8n + 6.5n = 8.3n
7.4 + 8.3n = 31.47

Solving
7.4 + 8.3n = 31.47

Solving for variable 'n'.

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

Add '-7.4' to each side of the equation.
7.4 + -7.4 + 8.3n = 31.47 + -7.4

Combine like terms: 7.4 + -7.4 = 0.0
0.0 + 8.3n = 31.47 + -7.4
8.3n = 31.47 + -7.4

Combine like terms: 31.47 + -7.4 = 24.07
8.3n = 24.07

Divide each side by '8.3'.
n = 2.9

Simplifying
n = 2.9

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