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3*(v+2)-4*(5v-6)=7-5*(4v+6)
We simplify the equation to the form, which is simple to understand
3*(v+2)-4*(5v-6)=7-5*(4v+6)
Reorder the terms in parentheses
+(+3v+6)-4*(5v-6)=7-5*(4v+6)
Remove unnecessary parentheses
+3v+6-4+*(+5v-6+)=+7-5+*(+4v+6+)
Reorder the terms in parentheses
+3v+6+(-20v+24)=7-5*(4v+6)
Remove unnecessary parentheses
+3v+6-20v+24=+7-5+*(+4v+6+)
Reorder the terms in parentheses
+3v+6-20v+24=7+(-20v-30)
Remove unnecessary parentheses
+3v+6-20v+24=+7-20v-30
We move all terms containing v to the left and all other terms to the right.
+3v-20v+20v=+7-30-6-24
We simplify left and right side of the equation.
+3v=-53
We divide both sides of the equation by 3 to get v.
v=-17.6666666667
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