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alex41 [277]
3 years ago
13

12z-7z-2=13 solve for z

Mathematics
1 answer:
devlian [24]3 years ago
8 0

Answer: z = 3

Step-by-step explanation: To solve this equation for <em>z</em>, we can first combine our like terms on the left side of the equation. Since 12 and 7 both have <em>z</em> after their coefficient, we can subtract 12z - 7z to get 5z.

Now we have 5z - 2 = 13.

To solve from here, we add 2 to the left side of the equation in order to isolate 5z. If we add 2 to the left side, we must also add 2 to the right side. On the left side, the -2 and +2 cancel out. On the right, 13 + 2 simplifies to 15.

Now we have 5z = 15.

Solving from here, we divide both sides of the equation by 5 to get <em>z</em> alone. On the left side, the 5's cancel out and we are simply left with <em>z</em>. On the right side, 15 divided by 5 simplifies to 3 so we have z = 3.

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