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10a-3a=-2(4+8a)+5(12+2a)
We simplify the equation to the form, which is simple to understand
10a-3a=-2(4+8a)+5(12+2a)
Reorder the terms in parentheses
10a-3a=+(-8-16a)+5*(12+2a)
Remove unnecessary parentheses
+10a-3a=-8-16a+5+*(+12+2a+)
Reorder the terms in parentheses
10a-3a=-8-16a+(+60+10a)
Remove unnecessary parentheses
+10a-3a=-8-16a+60+10a
We move all terms containing a to the left and all other terms to the right.
+10a-3a+16a-10a=-8+60
We simplify left and right side of the equation.
+13a=+52
We divide both sides of the equation by 13 to get a.
a=4
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