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10 - 2(3z + 4) = -3(6z + 5) - 7
We simplify the equation to the form, which is simple to understand
10-2(3z+4)=-3(6z+5)-7
Reorder the terms in parentheses
10+(-6z-8)=-3*(6z+5)-7
Remove unnecessary parentheses
+10-6z-8=-3+*(+6z+5+)-7
Reorder the terms in parentheses
10-6z-8=+(-18z-15)-7
Remove unnecessary parentheses
+10-6z-8=-18z-15-7
We move all terms containing z to the left and all other terms to the right.
-6z+18z=-15-7-10+8
We simplify left and right side of the equation.
+12z=-24
We divide both sides of the equation by 12 to get z.
z=-2
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