3.2(2.4n-5.98)+0.64(n+6.8)=46.784

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Solution for 3.2(2.4n-5.98)+0.64(n+6.8)=46.784 equation: 


Simplifying
3.2(2.4n + -5.98) + 0.64(n + 6.8) = 46.784

Reorder the terms:
3.2(-5.98 + 2.4n) + 0.64(n + 6.8) = 46.784
(-5.98 * 3.2 + 2.4n * 3.2) + 0.64(n + 6.8) = 46.784
(-19.136 + 7.68n) + 0.64(n + 6.8) = 46.784

Reorder the terms:
-19.136 + 7.68n + 0.64(6.8 + n) = 46.784
-19.136 + 7.68n + (6.8 * 0.64 + n * 0.64) = 46.784
-19.136 + 7.68n + (4.352 + 0.64n) = 46.784

Reorder the terms:
-19.136 + 4.352 + 7.68n + 0.64n = 46.784

Combine like terms: -19.136 + 4.352 = -14.784
-14.784 + 7.68n + 0.64n = 46.784

Combine like terms: 7.68n + 0.64n = 8.32n
-14.784 + 8.32n = 46.784

Solving
-14.784 + 8.32n = 46.784

Solving for variable 'n'.

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

Add '14.784' to each side of the equation.
-14.784 + 14.784 + 8.32n = 46.784 + 14.784

Combine like terms: -14.784 + 14.784 = 0.000
0.000 + 8.32n = 46.784 + 14.784
8.32n = 46.784 + 14.784

Combine like terms: 46.784 + 14.784 = 61.568
8.32n = 61.568

Divide each side by '8.32'.
n = 7.4

Simplifying
n = 7.4

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