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2(a-8)+7=-5(a+2)-3a-19
We simplify the equation to the form, which is simple to understand
2(a-8)+7=-5(a+2)-3a-19
Reorder the terms in parentheses
+(+2a-16)+7=-5*(a+2)-3a-19
Remove unnecessary parentheses
+2a-16+7=-5+*(+a+2+)-3a-19
Reorder the terms in parentheses
+2a-16+7=+(-5a-10)-3a-19
Remove unnecessary parentheses
+2a-16+7=-5a-10-3a-19
We move all terms containing a to the left and all other terms to the right.
+2a+5a+3a=-10-19+16-7
We simplify left and right side of the equation.
+10a=-20
We divide both sides of the equation by 10 to get a.
a=-2
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