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Question

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solve the equation.

  1. $y - 7 = 3$
  2. $p + 5 = 9$
  3. $21 = q + 14$
  4. $8 = r - 14$
  5. $v + 9 = 18$
  6. $6 + k = 12$
  7. $f - 21 = 3$
  8. $12 = a + 5$
  9. $n + 9 = 12$
  10. $4 + t = 5$
  11. $8 = 2 + c$
  12. $13 + g = 20$

Explanation:

Step1: Isolate $y$ by adding 7

$y - 7 + 7 = 3 + 7$

Step2: Isolate $p$ by subtracting 5

$p + 5 - 5 = 9 - 5$

Step3: Isolate $q$ by subtracting 14

$21 - 14 = q + 14 - 14$

Step4: Isolate $r$ by adding 14

$8 + 14 = r - 14 + 14$

Step5: Isolate $v$ by subtracting 9

$v + 9 - 9 = 18 - 9$

Step6: Isolate $k$ by subtracting 6

$6 + k - 6 = 12 - 6$

Step7: Isolate $f$ by adding 21

$f - 21 + 21 = 3 + 21$

Step8: Isolate $a$ by subtracting 5

$12 - 5 = a + 5 - 5$

Step9: Isolate $n$ by subtracting 9

$n + 9 - 9 = 12 - 9$

Step10: Isolate $t$ by subtracting 4

$4 + t - 4 = 5 - 4$

Step11: Isolate $c$ by subtracting 2

$8 - 2 = 2 + c - 2$

Step12: Isolate $g$ by subtracting 13

$13 + g - 13 = 20 - 13$

Answer:

  1. $y=10$
  2. $p=4$
  3. $q=7$
  4. $r=22$
  5. $v=9$
  6. $k=6$
  7. $f=24$
  8. $a=7$
  9. $n=3$
  10. $t=1$
  11. $c=6$
  12. $g=7$