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Answer:
n = -5
Step-by-step explanation:
-9 + 8n - 7n = 1 + 3n
- 9 + n = 1 + 3n
Subtracting both sides by n (to move it from LHS to RHS):
-9 + n - n = 1 + 3n - n
-9 = 1 + 2n
Subtracting both sides by 1 (to move it from RHS to LHS):
-9 - 1 = 1 - 1 + 2n
-10 = 2n
2n = -10
Dividing both sides by 2 to make the co-efficient of n, 1:
2n/2 = -10/2
n = -5
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Answer:
n = -5
Step-by-step explanation:
-9 + 8n - 7n = 1 + 3n
Combine like terms.
-9 + n = 1 + 3n
Subtract 3n from both sides.
-9 - 2n = 1
Add 9 to both sides.
-2n = 10
Divide both sides by -2.
n = -5.
Proof:
-9 + 8n - 7n = 1 + 3n
Substitute variable.
-9 + 8(-5) - 7(-5) = 1 + 3(-5)
Multiply 8 and -5.
-9 - 40 - 7(-5) = 1 + 3(-5)
Multiply -7 and -5.
-9 - 40 + 35 = 1 + 3(-5)
Multiply 3 and -5.
-9 - 40 + 35 = 1 - 15
Subtract 40 from -9.
-49 + 35 = 1 - 15
Add -49 and 35.
-14 = 1 - 15
Subtract 15 from 1.
-14 = -14