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1.2(1+7.8n)-0.1(6.1n+7.8)=1.2+5.8n+5.8n+2.4
We simplify the equation to the form, which is simple to understand
1.2(1+7.8n)-0.1(6.1n+7.8)=1.2+5.8n+5.8n+2.4
Reorder the terms in parentheses
+(+1.2+9.36n)-0.1*(6.1n+7.8)=1.2+5.8n+5.8n+2.4
Remove unnecessary parentheses
+1.2+9.36n-0.1+*(+6.1n+7.8+)=+1.2+5.8n+5.8n+2.4
Reorder the terms in parentheses
+1.2+9.36n+(-0.61n-0.78)=1.2+5.8n+5.8n+2.4
Remove unnecessary parentheses
+1.2+9.36n-0.61n-0.78=+1.2+5.8n+5.8n+2.4
We move all terms containing n to the left and all other terms to the right.
+9.36n-0.61n-5.8n-5.8n=+1.2+2.4-1.2 + 0.78
We simplify left and right side of the equation.
-2.85n=+3.18
We divide both sides of the equation by -2.85 to get n.
n=-1.11578947368
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