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-2(a-8)+7=(5a+2)-3a-19
We simplify the equation to the form, which is simple to understand
-2(a-8)+7=(5a+2)-3a-19
Reorder the terms in parentheses
+(-2a+16)+7=(5a+2)-3a-19
Remove unnecessary parentheses
-2a+16+7=+(+5a+2+)-3a-19
Remove unnecessary parentheses
-2a+16+7=5a+2-3a-19
We move all terms containing a to the left and all other terms to the right.
-2a-5a+3a=+2-19-16-7
We simplify left and right side of the equation.
-4a=-40
We divide both sides of the equation by -4 to get a.
a=10
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