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Mathematics
Rush
14 April, 14:42
Solve for c. 4 (3+c) + c=c+14
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Carley Peters
14 April, 16:55
0
c = 1/2
Step-by-step explanation:
Solve for c:
c + 4 (c + 3) = c + 14
4 (c + 3) = 4 c + 12:
4 c + 12 + c = c + 14
Grouping like terms, 4 c + c + 12 = (c + 4 c) + 12:
(c + 4 c) + 12 = c + 14
c + 4 c = 5 c:
5 c + 12 = c + 14
Subtract c from both sides:
(5 c - c) + 12 = (c - c) + 14
5 c - c = 4 c:
4 c + 12 = (c - c) + 14
c - c = 0:
4 c + 12 = 14
Subtract 12 from both sides:
4 c + (12 - 12) = 14 - 12
12 - 12 = 0:
4 c = 14 - 12
14 - 12 = 2:
4 c = 2
Divide both sides of 4 c = 2 by 4:
(4 c) / 4 = 2/4
4/4 = 1:
c = 2/4
The gcd of 2 and 4 is 2, so 2/4 = (2*1) / (2*2) = 2/2*1/2 = 1/2:
Answer: c = 1/2
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